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Finding the Fourth Proportional to 1,641.93, 2,468.58 and 1,319.55

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Solution

The fourth proportional to 1,641.93, 2,468.58 and 1,319.55 is: 1,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.93 : 2,468.58 = 1,319.55 : x
  2. Step 2: Convert to fraction form
    1,641.93/2,468.58 = 1,319.55/x
  3. Step 3: Cross multiply
    1,641.93x = 2,468.58 × 1,319.55
  4. Step 4: Simplify right side
    1,641.93x = 3,257,414.74
  5. Step 5: Solve for x
    x = 3,257,414.74/1,641.93
  6. Step 6: Final answer
    x = 1,983.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.