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Finding the Fourth Proportional to 1,539.39, 2,124.29 and 942.87

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Solution

The fourth proportional to 1,539.39, 2,124.29 and 942.87 is: 1,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.39 : 2,124.29 = 942.87 : x
  2. Step 2: Convert to fraction form
    1,539.39/2,124.29 = 942.87/x
  3. Step 3: Cross multiply
    1,539.39x = 2,124.29 × 942.87
  4. Step 4: Simplify right side
    1,539.39x = 2,002,924.60
  5. Step 5: Solve for x
    x = 2,002,924.60/1,539.39
  6. Step 6: Final answer
    x = 1,301.12

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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.