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Finding the Fourth Proportional to 2,084.48, 3,126.76 and 545.52

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Solution

The fourth proportional to 2,084.48, 3,126.76 and 545.52 is: 818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.48 : 3,126.76 = 545.52 : x
  2. Step 2: Convert to fraction form
    2,084.48/3,126.76 = 545.52/x
  3. Step 3: Cross multiply
    2,084.48x = 3,126.76 × 545.52
  4. Step 4: Simplify right side
    2,084.48x = 1,705,710.12
  5. Step 5: Solve for x
    x = 1,705,710.12/2,084.48
  6. Step 6: Final answer
    x = 818.29

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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.