Home / 1,585.36-2,187.48-922.12

Finding the Fourth Proportional to 1,585.36, 2,187.48 and 922.12

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Solution

The fourth proportional to 1,585.36, 2,187.48 and 922.12 is: 1,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.36 : 2,187.48 = 922.12 : x
  2. Step 2: Convert to fraction form
    1,585.36/2,187.48 = 922.12/x
  3. Step 3: Cross multiply
    1,585.36x = 2,187.48 × 922.12
  4. Step 4: Simplify right side
    1,585.36x = 2,017,119.06
  5. Step 5: Solve for x
    x = 2,017,119.06/1,585.36
  6. Step 6: Final answer
    x = 1,272.34

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Half 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.