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Finding the Fourth Proportional to 2,265.91, 3,397.50 and 1,154.64

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Solution

The fourth proportional to 2,265.91, 3,397.50 and 1,154.64 is: 1,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.91 : 3,397.50 = 1,154.64 : x
  2. Step 2: Convert to fraction form
    2,265.91/3,397.50 = 1,154.64/x
  3. Step 3: Cross multiply
    2,265.91x = 3,397.50 × 1,154.64
  4. Step 4: Simplify right side
    2,265.91x = 3,922,889.40
  5. Step 5: Solve for x
    x = 3,922,889.40/2,265.91
  6. Step 6: Final answer
    x = 1,731.26

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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.