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Finding the Fourth Proportional to 1,788.39, 2,468.06 and 1,042.23

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Solution

The fourth proportional to 1,788.39, 2,468.06 and 1,042.23 is: 1,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.39 : 2,468.06 = 1,042.23 : x
  2. Step 2: Convert to fraction form
    1,788.39/2,468.06 = 1,042.23/x
  3. Step 3: Cross multiply
    1,788.39x = 2,468.06 × 1,042.23
  4. Step 4: Simplify right side
    1,788.39x = 2,572,280.96
  5. Step 5: Solve for x
    x = 2,572,280.96/1,788.39
  6. Step 6: Final answer
    x = 1,438.32

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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.