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Finding the Fourth Proportional to 1,972.88, 2,722.58 and 1,088.69

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Solution

The fourth proportional to 1,972.88, 2,722.58 and 1,088.69 is: 1,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.88 : 2,722.58 = 1,088.69 : x
  2. Step 2: Convert to fraction form
    1,972.88/2,722.58 = 1,088.69/x
  3. Step 3: Cross multiply
    1,972.88x = 2,722.58 × 1,088.69
  4. Step 4: Simplify right side
    1,972.88x = 2,964,026.56
  5. Step 5: Solve for x
    x = 2,964,026.56/1,972.88
  6. Step 6: Final answer
    x = 1,502.39

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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.