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Finding the Fourth Proportional to 3,117.44, 4,672.11 and 1,266.40

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Solution

The fourth proportional to 3,117.44, 4,672.11 and 1,266.40 is: 1,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.44 : 4,672.11 = 1,266.40 : x
  2. Step 2: Convert to fraction form
    3,117.44/4,672.11 = 1,266.40/x
  3. Step 3: Cross multiply
    3,117.44x = 4,672.11 × 1,266.40
  4. Step 4: Simplify right side
    3,117.44x = 5,916,760.10
  5. Step 5: Solve for x
    x = 5,916,760.10/3,117.44
  6. Step 6: Final answer
    x = 1,897.96

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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.