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Finding the Fourth Proportional to 1,972.47, 2,722.16 and 1,275.87

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Solution

The fourth proportional to 1,972.47, 2,722.16 and 1,275.87 is: 1,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.47 : 2,722.16 = 1,275.87 : x
  2. Step 2: Convert to fraction form
    1,972.47/2,722.16 = 1,275.87/x
  3. Step 3: Cross multiply
    1,972.47x = 2,722.16 × 1,275.87
  4. Step 4: Simplify right side
    1,972.47x = 3,473,115.90
  5. Step 5: Solve for x
    x = 3,473,115.90/1,972.47
  6. Step 6: Final answer
    x = 1,760.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.