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Finding the Fourth Proportional to 3,006.16, 4,508.60 and 814.91

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Solution

The fourth proportional to 3,006.16, 4,508.60 and 814.91 is: 1,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.16 : 4,508.60 = 814.91 : x
  2. Step 2: Convert to fraction form
    3,006.16/4,508.60 = 814.91/x
  3. Step 3: Cross multiply
    3,006.16x = 4,508.60 × 814.91
  4. Step 4: Simplify right side
    3,006.16x = 3,674,076.61
  5. Step 5: Solve for x
    x = 3,674,076.61/3,006.16
  6. Step 6: Final answer
    x = 1,222.18

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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.