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Finding the Fourth Proportional to 1,281.41, 1,921.08 and 1,178.90

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Solution

The fourth proportional to 1,281.41, 1,921.08 and 1,178.90 is: 1,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.41 : 1,921.08 = 1,178.90 : x
  2. Step 2: Convert to fraction form
    1,281.41/1,921.08 = 1,178.90/x
  3. Step 3: Cross multiply
    1,281.41x = 1,921.08 × 1,178.90
  4. Step 4: Simplify right side
    1,281.41x = 2,264,761.21
  5. Step 5: Solve for x
    x = 2,264,761.21/1,281.41
  6. Step 6: Final answer
    x = 1,767.40

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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.