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Finding the Fourth Proportional to 2,506, 3,761.40 and 1,044.76

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Solution

The fourth proportional to 2,506, 3,761.40 and 1,044.76 is: 1,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506 : 3,761.40 = 1,044.76 : x
  2. Step 2: Convert to fraction form
    2,506/3,761.40 = 1,044.76/x
  3. Step 3: Cross multiply
    2,506x = 3,761.40 × 1,044.76
  4. Step 4: Simplify right side
    2,506x = 3,929,760.26
  5. Step 5: Solve for x
    x = 3,929,760.26/2,506
  6. Step 6: Final answer
    x = 1,568.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.