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Finding the Fourth Proportional to 1,538.64, 2,308.32 and 1,051.92

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Solution

The fourth proportional to 1,538.64, 2,308.32 and 1,051.92 is: 1,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.64 : 2,308.32 = 1,051.92 : x
  2. Step 2: Convert to fraction form
    1,538.64/2,308.32 = 1,051.92/x
  3. Step 3: Cross multiply
    1,538.64x = 2,308.32 × 1,051.92
  4. Step 4: Simplify right side
    1,538.64x = 2,428,167.97
  5. Step 5: Solve for x
    x = 2,428,167.97/1,538.64
  6. Step 6: Final answer
    x = 1,578.13

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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.