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Finding the Fourth Proportional to 2,752.47, 4,122.93 and 2,164.71

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Solution

The fourth proportional to 2,752.47, 4,122.93 and 2,164.71 is: 3,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.47 : 4,122.93 = 2,164.71 : x
  2. Step 2: Convert to fraction form
    2,752.47/4,122.93 = 2,164.71/x
  3. Step 3: Cross multiply
    2,752.47x = 4,122.93 × 2,164.71
  4. Step 4: Simplify right side
    2,752.47x = 8,924,947.80
  5. Step 5: Solve for x
    x = 8,924,947.80/2,752.47
  6. Step 6: Final answer
    x = 3,242.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.