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Finding the Fourth Proportional to 2,359.68, 3,522 and 2,082.90

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Solution

The fourth proportional to 2,359.68, 3,522 and 2,082.90 is: 3,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.68 : 3,522 = 2,082.90 : x
  2. Step 2: Convert to fraction form
    2,359.68/3,522 = 2,082.90/x
  3. Step 3: Cross multiply
    2,359.68x = 3,522 × 2,082.90
  4. Step 4: Simplify right side
    2,359.68x = 7,335,973.80
  5. Step 5: Solve for x
    x = 7,335,973.80/2,359.68
  6. Step 6: Final answer
    x = 3,108.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.