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Finding the Fourth Proportional to 2,524.79, 3,484.17 and 1,462.70

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Solution

The fourth proportional to 2,524.79, 3,484.17 and 1,462.70 is: 2,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.79 : 3,484.17 = 1,462.70 : x
  2. Step 2: Convert to fraction form
    2,524.79/3,484.17 = 1,462.70/x
  3. Step 3: Cross multiply
    2,524.79x = 3,484.17 × 1,462.70
  4. Step 4: Simplify right side
    2,524.79x = 5,096,295.46
  5. Step 5: Solve for x
    x = 5,096,295.46/2,524.79
  6. Step 6: Final answer
    x = 2,018.50

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