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Finding the Fourth Proportional to 2,506.37, 3,758.73 and 862.88

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Solution

The fourth proportional to 2,506.37, 3,758.73 and 862.88 is: 1,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.37 : 3,758.73 = 862.88 : x
  2. Step 2: Convert to fraction form
    2,506.37/3,758.73 = 862.88/x
  3. Step 3: Cross multiply
    2,506.37x = 3,758.73 × 862.88
  4. Step 4: Simplify right side
    2,506.37x = 3,243,332.94
  5. Step 5: Solve for x
    x = 3,243,332.94/2,506.37
  6. Step 6: Final answer
    x = 1,294.04

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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.