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Finding the Fourth Proportional to 1,972.62, 2,722.20 and 1,088.52

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Solution

The fourth proportional to 1,972.62, 2,722.20 and 1,088.52 is: 1,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.62 : 2,722.20 = 1,088.52 : x
  2. Step 2: Convert to fraction form
    1,972.62/2,722.20 = 1,088.52/x
  3. Step 3: Cross multiply
    1,972.62x = 2,722.20 × 1,088.52
  4. Step 4: Simplify right side
    1,972.62x = 2,963,169.14
  5. Step 5: Solve for x
    x = 2,963,169.14/1,972.62
  6. Step 6: Final answer
    x = 1,502.15

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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.