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Finding the Fourth Proportional to 1,788.98, 2,468.91 and 1,042.65

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Solution

The fourth proportional to 1,788.98, 2,468.91 and 1,042.65 is: 1,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.98 : 2,468.91 = 1,042.65 : x
  2. Step 2: Convert to fraction form
    1,788.98/2,468.91 = 1,042.65/x
  3. Step 3: Cross multiply
    1,788.98x = 2,468.91 × 1,042.65
  4. Step 4: Simplify right side
    1,788.98x = 2,574,209.01
  5. Step 5: Solve for x
    x = 2,574,209.01/1,788.98
  6. Step 6: Final answer
    x = 1,438.93

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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.