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Finding the Fourth Proportional to 2,472.56, 3,408.18 and 1,675.64

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Solution

The fourth proportional to 2,472.56, 3,408.18 and 1,675.64 is: 2,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.56 : 3,408.18 = 1,675.64 : x
  2. Step 2: Convert to fraction form
    2,472.56/3,408.18 = 1,675.64/x
  3. Step 3: Cross multiply
    2,472.56x = 3,408.18 × 1,675.64
  4. Step 4: Simplify right side
    2,472.56x = 5,710,882.74
  5. Step 5: Solve for x
    x = 5,710,882.74/2,472.56
  6. Step 6: Final answer
    x = 2,309.70

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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.