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Finding the Fourth Proportional to 2,508.70, 3,462.76 and 1,624.56

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Solution

The fourth proportional to 2,508.70, 3,462.76 and 1,624.56 is: 2,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.70 : 3,462.76 = 1,624.56 : x
  2. Step 2: Convert to fraction form
    2,508.70/3,462.76 = 1,624.56/x
  3. Step 3: Cross multiply
    2,508.70x = 3,462.76 × 1,624.56
  4. Step 4: Simplify right side
    2,508.70x = 5,625,461.39
  5. Step 5: Solve for x
    x = 5,625,461.39/2,508.70
  6. Step 6: Final answer
    x = 2,242.38

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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.