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Finding the Fourth Proportional to 3,117.67, 4,676.51 and 1,268.29

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Solution

The fourth proportional to 3,117.67, 4,676.51 and 1,268.29 is: 1,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.67 : 4,676.51 = 1,268.29 : x
  2. Step 2: Convert to fraction form
    3,117.67/4,676.51 = 1,268.29/x
  3. Step 3: Cross multiply
    3,117.67x = 4,676.51 × 1,268.29
  4. Step 4: Simplify right side
    3,117.67x = 5,931,176.32
  5. Step 5: Solve for x
    x = 5,931,176.32/3,117.67
  6. Step 6: Final answer
    x = 1,902.44

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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.