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Finding the Fourth Proportional to 2,046.47, 3,070.08 and 876.44

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Solution

The fourth proportional to 2,046.47, 3,070.08 and 876.44 is: 1,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.47 : 3,070.08 = 876.44 : x
  2. Step 2: Convert to fraction form
    2,046.47/3,070.08 = 876.44/x
  3. Step 3: Cross multiply
    2,046.47x = 3,070.08 × 876.44
  4. Step 4: Simplify right side
    2,046.47x = 2,690,725.56
  5. Step 5: Solve for x
    x = 2,690,725.56/2,046.47
  6. Step 6: Final answer
    x = 1,314.82

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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.