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Finding the Fourth Proportional to 2,331.68, 3,497.53 and 945.04

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Solution

The fourth proportional to 2,331.68, 3,497.53 and 945.04 is: 1,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.68 : 3,497.53 = 945.04 : x
  2. Step 2: Convert to fraction form
    2,331.68/3,497.53 = 945.04/x
  3. Step 3: Cross multiply
    2,331.68x = 3,497.53 × 945.04
  4. Step 4: Simplify right side
    2,331.68x = 3,305,301.03
  5. Step 5: Solve for x
    x = 3,305,301.03/2,331.68
  6. Step 6: Final answer
    x = 1,417.57

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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.