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Finding the Fourth Proportional to 1,557.26, 2,335.86 and 736.12

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Solution

The fourth proportional to 1,557.26, 2,335.86 and 736.12 is: 1,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.26 : 2,335.86 = 736.12 : x
  2. Step 2: Convert to fraction form
    1,557.26/2,335.86 = 736.12/x
  3. Step 3: Cross multiply
    1,557.26x = 2,335.86 × 736.12
  4. Step 4: Simplify right side
    1,557.26x = 1,719,473.26
  5. Step 5: Solve for x
    x = 1,719,473.26/1,557.26
  6. Step 6: Final answer
    x = 1,104.17

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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.