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Finding the Fourth Proportional to 1,724.78, 2,587.85 and 993.96

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Solution

The fourth proportional to 1,724.78, 2,587.85 and 993.96 is: 1,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.78 : 2,587.85 = 993.96 : x
  2. Step 2: Convert to fraction form
    1,724.78/2,587.85 = 993.96/x
  3. Step 3: Cross multiply
    1,724.78x = 2,587.85 × 993.96
  4. Step 4: Simplify right side
    1,724.78x = 2,572,218.14
  5. Step 5: Solve for x
    x = 2,572,218.14/1,724.78
  6. Step 6: Final answer
    x = 1,491.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.