Home / 1,646.19-2,272.19-983.07

Finding the Fourth Proportional to 1,646.19, 2,272.19 and 983.07

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Solution

The fourth proportional to 1,646.19, 2,272.19 and 983.07 is: 1,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.19 : 2,272.19 = 983.07 : x
  2. Step 2: Convert to fraction form
    1,646.19/2,272.19 = 983.07/x
  3. Step 3: Cross multiply
    1,646.19x = 2,272.19 × 983.07
  4. Step 4: Simplify right side
    1,646.19x = 2,233,716.91
  5. Step 5: Solve for x
    x = 2,233,716.91/1,646.19
  6. Step 6: Final answer
    x = 1,356.90

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.