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Finding the Fourth Proportional to 2,506.84, 3,759.10 and 862.96

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Solution

The fourth proportional to 2,506.84, 3,759.10 and 862.96 is: 1,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.84 : 3,759.10 = 862.96 : x
  2. Step 2: Convert to fraction form
    2,506.84/3,759.10 = 862.96/x
  3. Step 3: Cross multiply
    2,506.84x = 3,759.10 × 862.96
  4. Step 4: Simplify right side
    2,506.84x = 3,243,952.94
  5. Step 5: Solve for x
    x = 3,243,952.94/2,506.84
  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.