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Finding the Fourth Proportional to 1,522.57, 2,101.11 and 998.57

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Solution

The fourth proportional to 1,522.57, 2,101.11 and 998.57 is: 1,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.57 : 2,101.11 = 998.57 : x
  2. Step 2: Convert to fraction form
    1,522.57/2,101.11 = 998.57/x
  3. Step 3: Cross multiply
    1,522.57x = 2,101.11 × 998.57
  4. Step 4: Simplify right side
    1,522.57x = 2,098,094.91
  5. Step 5: Solve for x
    x = 2,098,094.91/1,522.57
  6. Step 6: Final answer
    x = 1,378.00

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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.