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Finding the Fourth Proportional to 2,265.60, 3,395.66 and 1,031.32

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Solution

The fourth proportional to 2,265.60, 3,395.66 and 1,031.32 is: 1,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.60 : 3,395.66 = 1,031.32 : x
  2. Step 2: Convert to fraction form
    2,265.60/3,395.66 = 1,031.32/x
  3. Step 3: Cross multiply
    2,265.60x = 3,395.66 × 1,031.32
  4. Step 4: Simplify right side
    2,265.60x = 3,502,012.07
  5. Step 5: Solve for x
    x = 3,502,012.07/2,265.60
  6. Step 6: Final answer
    x = 1,545.73

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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.