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Finding the Fourth Proportional to 3,098.72, 4,648.19 and 1,018.78

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Solution

The fourth proportional to 3,098.72, 4,648.19 and 1,018.78 is: 1,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.72 : 4,648.19 = 1,018.78 : x
  2. Step 2: Convert to fraction form
    3,098.72/4,648.19 = 1,018.78/x
  3. Step 3: Cross multiply
    3,098.72x = 4,648.19 × 1,018.78
  4. Step 4: Simplify right side
    3,098.72x = 4,735,466.29
  5. Step 5: Solve for x
    x = 4,735,466.29/3,098.72
  6. Step 6: Final answer
    x = 1,528.20

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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.