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Finding the Fourth Proportional to 2,571.14, 3,862.87 and 1,648.50

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Solution

The fourth proportional to 2,571.14, 3,862.87 and 1,648.50 is: 2,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.14 : 3,862.87 = 1,648.50 : x
  2. Step 2: Convert to fraction form
    2,571.14/3,862.87 = 1,648.50/x
  3. Step 3: Cross multiply
    2,571.14x = 3,862.87 × 1,648.50
  4. Step 4: Simplify right side
    2,571.14x = 6,367,941.20
  5. Step 5: Solve for x
    x = 6,367,941.20/2,571.14
  6. Step 6: Final answer
    x = 2,476.70

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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.