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Finding the Fourth Proportional to 1,972.71, 2,722.35 and 1,088.55

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Solution

The fourth proportional to 1,972.71, 2,722.35 and 1,088.55 is: 1,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.71 : 2,722.35 = 1,088.55 : x
  2. Step 2: Convert to fraction form
    1,972.71/2,722.35 = 1,088.55/x
  3. Step 3: Cross multiply
    1,972.71x = 2,722.35 × 1,088.55
  4. Step 4: Simplify right side
    1,972.71x = 2,963,414.09
  5. Step 5: Solve for x
    x = 2,963,414.09/1,972.71
  6. Step 6: Final answer
    x = 1,502.20

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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.