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Finding the Fourth Proportional to 1,531.95, 2,299.20 and 1,186.20

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Solution

The fourth proportional to 1,531.95, 2,299.20 and 1,186.20 is: 1,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.95 : 2,299.20 = 1,186.20 : x
  2. Step 2: Convert to fraction form
    1,531.95/2,299.20 = 1,186.20/x
  3. Step 3: Cross multiply
    1,531.95x = 2,299.20 × 1,186.20
  4. Step 4: Simplify right side
    1,531.95x = 2,727,311.04
  5. Step 5: Solve for x
    x = 2,727,311.04/1,531.95
  6. Step 6: Final answer
    x = 1,780.29

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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.