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Finding the Fourth Proportional to 1,373.66, 2,063.20 and 1,180.24

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Solution

The fourth proportional to 1,373.66, 2,063.20 and 1,180.24 is: 1,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.66 : 2,063.20 = 1,180.24 : x
  2. Step 2: Convert to fraction form
    1,373.66/2,063.20 = 1,180.24/x
  3. Step 3: Cross multiply
    1,373.66x = 2,063.20 × 1,180.24
  4. Step 4: Simplify right side
    1,373.66x = 2,435,071.17
  5. Step 5: Solve for x
    x = 2,435,071.17/1,373.66
  6. Step 6: Final answer
    x = 1,772.69

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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.