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Finding the Fourth Proportional to 1,972.97, 2,722.65 and 1,088.76

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Solution

The fourth proportional to 1,972.97, 2,722.65 and 1,088.76 is: 1,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.97 : 2,722.65 = 1,088.76 : x
  2. Step 2: Convert to fraction form
    1,972.97/2,722.65 = 1,088.76/x
  3. Step 3: Cross multiply
    1,972.97x = 2,722.65 × 1,088.76
  4. Step 4: Simplify right side
    1,972.97x = 2,964,312.41
  5. Step 5: Solve for x
    x = 2,964,312.41/1,972.97
  6. Step 6: Final answer
    x = 1,502.47

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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.