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Finding the Fourth Proportional to 1,641.41, 2,265.98 and 1,267.55

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Solution

The fourth proportional to 1,641.41, 2,265.98 and 1,267.55 is: 1,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.41 : 2,265.98 = 1,267.55 : x
  2. Step 2: Convert to fraction form
    1,641.41/2,265.98 = 1,267.55/x
  3. Step 3: Cross multiply
    1,641.41x = 2,265.98 × 1,267.55
  4. Step 4: Simplify right side
    1,641.41x = 2,872,225.28
  5. Step 5: Solve for x
    x = 2,872,225.28/1,641.41
  6. Step 6: Final answer
    x = 1,749.86

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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.