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Finding the Fourth Proportional to 1,553.14, 2,332.80 and 929.64

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Solution

The fourth proportional to 1,553.14, 2,332.80 and 929.64 is: 1,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.14 : 2,332.80 = 929.64 : x
  2. Step 2: Convert to fraction form
    1,553.14/2,332.80 = 929.64/x
  3. Step 3: Cross multiply
    1,553.14x = 2,332.80 × 929.64
  4. Step 4: Simplify right side
    1,553.14x = 2,168,664.19
  5. Step 5: Solve for x
    x = 2,168,664.19/1,553.14
  6. Step 6: Final answer
    x = 1,396.31

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