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Finding the Fourth Proportional to 1,882.50, 2,597.22 and 1,096.26

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Solution

The fourth proportional to 1,882.50, 2,597.22 and 1,096.26 is: 1,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.50 : 2,597.22 = 1,096.26 : x
  2. Step 2: Convert to fraction form
    1,882.50/2,597.22 = 1,096.26/x
  3. Step 3: Cross multiply
    1,882.50x = 2,597.22 × 1,096.26
  4. Step 4: Simplify right side
    1,882.50x = 2,847,228.40
  5. Step 5: Solve for x
    x = 2,847,228.40/1,882.50
  6. Step 6: Final answer
    x = 1,512.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.