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Finding the Fourth Proportional to 3,116.88, 4,676.20 and 1,269.32

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Solution

The fourth proportional to 3,116.88, 4,676.20 and 1,269.32 is: 1,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.88 : 4,676.20 = 1,269.32 : x
  2. Step 2: Convert to fraction form
    3,116.88/4,676.20 = 1,269.32/x
  3. Step 3: Cross multiply
    3,116.88x = 4,676.20 × 1,269.32
  4. Step 4: Simplify right side
    3,116.88x = 5,935,601.07
  5. Step 5: Solve for x
    x = 5,935,601.07/3,116.88
  6. Step 6: Final answer
    x = 1,904.34

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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.