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Finding the Fourth Proportional to 1,583.70, 2,375.20 and 1,120.17

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Solution

The fourth proportional to 1,583.70, 2,375.20 and 1,120.17 is: 1,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.70 : 2,375.20 = 1,120.17 : x
  2. Step 2: Convert to fraction form
    1,583.70/2,375.20 = 1,120.17/x
  3. Step 3: Cross multiply
    1,583.70x = 2,375.20 × 1,120.17
  4. Step 4: Simplify right side
    1,583.70x = 2,660,627.78
  5. Step 5: Solve for x
    x = 2,660,627.78/1,583.70
  6. Step 6: Final answer
    x = 1,680.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.