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Finding the Fourth Proportional to 1,932.32, 2,666.88 and 1,270.16

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Solution

The fourth proportional to 1,932.32, 2,666.88 and 1,270.16 is: 1,753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.32 : 2,666.88 = 1,270.16 : x
  2. Step 2: Convert to fraction form
    1,932.32/2,666.88 = 1,270.16/x
  3. Step 3: Cross multiply
    1,932.32x = 2,666.88 × 1,270.16
  4. Step 4: Simplify right side
    1,932.32x = 3,387,364.30
  5. Step 5: Solve for x
    x = 3,387,364.30/1,932.32
  6. Step 6: Final answer
    x = 1,753.00

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