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Finding the Fourth Proportional to 3,002.17, 4,502.92 and 811.12

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Solution

The fourth proportional to 3,002.17, 4,502.92 and 811.12 is: 1,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.17 : 4,502.92 = 811.12 : x
  2. Step 2: Convert to fraction form
    3,002.17/4,502.92 = 811.12/x
  3. Step 3: Cross multiply
    3,002.17x = 4,502.92 × 811.12
  4. Step 4: Simplify right side
    3,002.17x = 3,652,408.47
  5. Step 5: Solve for x
    x = 3,652,408.47/3,002.17
  6. Step 6: Final answer
    x = 1,216.59

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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.