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Finding the Fourth Proportional to 1,788.90, 2,468.66 and 1,042.89

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Solution

The fourth proportional to 1,788.90, 2,468.66 and 1,042.89 is: 1,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.90 : 2,468.66 = 1,042.89 : x
  2. Step 2: Convert to fraction form
    1,788.90/2,468.66 = 1,042.89/x
  3. Step 3: Cross multiply
    1,788.90x = 2,468.66 × 1,042.89
  4. Step 4: Simplify right side
    1,788.90x = 2,574,535.61
  5. Step 5: Solve for x
    x = 2,574,535.61/1,788.90
  6. Step 6: Final answer
    x = 1,439.17

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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.