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Finding the Fourth Proportional to 3,098.34, 4,648.87 and 1,253.05

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Solution

The fourth proportional to 3,098.34, 4,648.87 and 1,253.05 is: 1,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.34 : 4,648.87 = 1,253.05 : x
  2. Step 2: Convert to fraction form
    3,098.34/4,648.87 = 1,253.05/x
  3. Step 3: Cross multiply
    3,098.34x = 4,648.87 × 1,253.05
  4. Step 4: Simplify right side
    3,098.34x = 5,825,266.55
  5. Step 5: Solve for x
    x = 5,825,266.55/3,098.34
  6. Step 6: Final answer
    x = 1,880.13

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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.