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Finding the Fourth Proportional to 1,454.58, 2,182.95 and 1,169.46

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Solution

The fourth proportional to 1,454.58, 2,182.95 and 1,169.46 is: 1,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.58 : 2,182.95 = 1,169.46 : x
  2. Step 2: Convert to fraction form
    1,454.58/2,182.95 = 1,169.46/x
  3. Step 3: Cross multiply
    1,454.58x = 2,182.95 × 1,169.46
  4. Step 4: Simplify right side
    1,454.58x = 2,552,872.71
  5. Step 5: Solve for x
    x = 2,552,872.71/1,454.58
  6. Step 6: Final answer
    x = 1,755.06

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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.