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Finding the Fourth Proportional to 1,972.93, 2,722.56 and 1,088.71

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Solution

The fourth proportional to 1,972.93, 2,722.56 and 1,088.71 is: 1,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.93 : 2,722.56 = 1,088.71 : x
  2. Step 2: Convert to fraction form
    1,972.93/2,722.56 = 1,088.71/x
  3. Step 3: Cross multiply
    1,972.93x = 2,722.56 × 1,088.71
  4. Step 4: Simplify right side
    1,972.93x = 2,964,078.30
  5. Step 5: Solve for x
    x = 2,964,078.30/1,972.93
  6. Step 6: Final answer
    x = 1,502.37

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Why These Related Problems?

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