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Finding the Fourth Proportional to 2,506.58, 3,760.13 and 862.91

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Solution

The fourth proportional to 2,506.58, 3,760.13 and 862.91 is: 1,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.58 : 3,760.13 = 862.91 : x
  2. Step 2: Convert to fraction form
    2,506.58/3,760.13 = 862.91/x
  3. Step 3: Cross multiply
    2,506.58x = 3,760.13 × 862.91
  4. Step 4: Simplify right side
    2,506.58x = 3,244,665.34
  5. Step 5: Solve for x
    x = 3,244,665.34/2,506.58
  6. Step 6: Final answer
    x = 1,294.46

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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.