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Finding the Fourth Proportional to 2,116.70, 3,166.95 and 1,387.70

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Solution

The fourth proportional to 2,116.70, 3,166.95 and 1,387.70 is: 2,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.70 : 3,166.95 = 1,387.70 : x
  2. Step 2: Convert to fraction form
    2,116.70/3,166.95 = 1,387.70/x
  3. Step 3: Cross multiply
    2,116.70x = 3,166.95 × 1,387.70
  4. Step 4: Simplify right side
    2,116.70x = 4,394,776.52
  5. Step 5: Solve for x
    x = 4,394,776.52/2,116.70
  6. Step 6: Final answer
    x = 2,076.24

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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.