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Finding the Fourth Proportional to 2,476.74, 3,715.47 and 1,321.86

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Solution

The fourth proportional to 2,476.74, 3,715.47 and 1,321.86 is: 1,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.74 : 3,715.47 = 1,321.86 : x
  2. Step 2: Convert to fraction form
    2,476.74/3,715.47 = 1,321.86/x
  3. Step 3: Cross multiply
    2,476.74x = 3,715.47 × 1,321.86
  4. Step 4: Simplify right side
    2,476.74x = 4,911,331.17
  5. Step 5: Solve for x
    x = 4,911,331.17/2,476.74
  6. Step 6: Final answer
    x = 1,982.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.