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Finding the Fourth Proportional to 1,538.64, 2,307.84 and 614.16

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Solution

The fourth proportional to 1,538.64, 2,307.84 and 614.16 is: 921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.64 : 2,307.84 = 614.16 : x
  2. Step 2: Convert to fraction form
    1,538.64/2,307.84 = 614.16/x
  3. Step 3: Cross multiply
    1,538.64x = 2,307.84 × 614.16
  4. Step 4: Simplify right side
    1,538.64x = 1,417,383.01
  5. Step 5: Solve for x
    x = 1,417,383.01/1,538.64
  6. Step 6: Final answer
    x = 921.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.