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Finding the Fourth Proportional to 2,513.41, 3,770.28 and 869.74

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Solution

The fourth proportional to 2,513.41, 3,770.28 and 869.74 is: 1,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.41 : 3,770.28 = 869.74 : x
  2. Step 2: Convert to fraction form
    2,513.41/3,770.28 = 869.74/x
  3. Step 3: Cross multiply
    2,513.41x = 3,770.28 × 869.74
  4. Step 4: Simplify right side
    2,513.41x = 3,279,153.90
  5. Step 5: Solve for x
    x = 3,279,153.90/2,513.41
  6. Step 6: Final answer
    x = 1,304.66

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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.