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Finding the Fourth Proportional to 1,719.92, 2,372.62 and 1,089.38

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Solution

The fourth proportional to 1,719.92, 2,372.62 and 1,089.38 is: 1,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.92 : 2,372.62 = 1,089.38 : x
  2. Step 2: Convert to fraction form
    1,719.92/2,372.62 = 1,089.38/x
  3. Step 3: Cross multiply
    1,719.92x = 2,372.62 × 1,089.38
  4. Step 4: Simplify right side
    1,719.92x = 2,584,684.78
  5. Step 5: Solve for x
    x = 2,584,684.78/1,719.92
  6. Step 6: Final answer
    x = 1,502.79

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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.