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Finding the Fourth Proportional to 1,747.14, 2,410.86 and 961.02

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Solution

The fourth proportional to 1,747.14, 2,410.86 and 961.02 is: 1,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.14 : 2,410.86 = 961.02 : x
  2. Step 2: Convert to fraction form
    1,747.14/2,410.86 = 961.02/x
  3. Step 3: Cross multiply
    1,747.14x = 2,410.86 × 961.02
  4. Step 4: Simplify right side
    1,747.14x = 2,316,884.68
  5. Step 5: Solve for x
    x = 2,316,884.68/1,747.14
  6. Step 6: Final answer
    x = 1,326.10

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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.