Home / 1,646.47-2,272.17-983.20

Finding the Fourth Proportional to 1,646.47, 2,272.17 and 983.20

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Solution

The fourth proportional to 1,646.47, 2,272.17 and 983.20 is: 1,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.47 : 2,272.17 = 983.20 : x
  2. Step 2: Convert to fraction form
    1,646.47/2,272.17 = 983.20/x
  3. Step 3: Cross multiply
    1,646.47x = 2,272.17 × 983.20
  4. Step 4: Simplify right side
    1,646.47x = 2,233,986.95
  5. Step 5: Solve for x
    x = 2,233,986.95/1,646.47
  6. Step 6: Final answer
    x = 1,356.83

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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.