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Finding the Fourth Proportional to 3,107.74, 4,285.65 and 1,988.27

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Solution

The fourth proportional to 3,107.74, 4,285.65 and 1,988.27 is: 2,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.74 : 4,285.65 = 1,988.27 : x
  2. Step 2: Convert to fraction form
    3,107.74/4,285.65 = 1,988.27/x
  3. Step 3: Cross multiply
    3,107.74x = 4,285.65 × 1,988.27
  4. Step 4: Simplify right side
    3,107.74x = 8,521,029.50
  5. Step 5: Solve for x
    x = 8,521,029.50/3,107.74
  6. Step 6: Final answer
    x = 2,741.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.