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Finding the Fourth Proportional to 2,524.76, 3,484.17 and 1,476.62

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Solution

The fourth proportional to 2,524.76, 3,484.17 and 1,476.62 is: 2,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.76 : 3,484.17 = 1,476.62 : x
  2. Step 2: Convert to fraction form
    2,524.76/3,484.17 = 1,476.62/x
  3. Step 3: Cross multiply
    2,524.76x = 3,484.17 × 1,476.62
  4. Step 4: Simplify right side
    2,524.76x = 5,144,795.11
  5. Step 5: Solve for x
    x = 5,144,795.11/2,524.76
  6. Step 6: Final answer
    x = 2,037.74

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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.