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Finding the Fourth Proportional to 3,117.78, 4,676.56 and 1,268.39

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Solution

The fourth proportional to 3,117.78, 4,676.56 and 1,268.39 is: 1,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.78 : 4,676.56 = 1,268.39 : x
  2. Step 2: Convert to fraction form
    3,117.78/4,676.56 = 1,268.39/x
  3. Step 3: Cross multiply
    3,117.78x = 4,676.56 × 1,268.39
  4. Step 4: Simplify right side
    3,117.78x = 5,931,710.46
  5. Step 5: Solve for x
    x = 5,931,710.46/3,117.78
  6. Step 6: Final answer
    x = 1,902.54

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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.