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Finding the Fourth Proportional to 1,788.86, 2,468.39 and 1,042.71

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Solution

The fourth proportional to 1,788.86, 2,468.39 and 1,042.71 is: 1,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.86 : 2,468.39 = 1,042.71 : x
  2. Step 2: Convert to fraction form
    1,788.86/2,468.39 = 1,042.71/x
  3. Step 3: Cross multiply
    1,788.86x = 2,468.39 × 1,042.71
  4. Step 4: Simplify right side
    1,788.86x = 2,573,809.72
  5. Step 5: Solve for x
    x = 2,573,809.72/1,788.86
  6. Step 6: Final answer
    x = 1,438.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.