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Finding the Fourth Proportional to 2,246.70, 3,340.95 and 2,177.40

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Solution

The fourth proportional to 2,246.70, 3,340.95 and 2,177.40 is: 3,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.70 : 3,340.95 = 2,177.40 : x
  2. Step 2: Convert to fraction form
    2,246.70/3,340.95 = 2,177.40/x
  3. Step 3: Cross multiply
    2,246.70x = 3,340.95 × 2,177.40
  4. Step 4: Simplify right side
    2,246.70x = 7,274,584.53
  5. Step 5: Solve for x
    x = 7,274,584.53/2,246.70
  6. Step 6: Final answer
    x = 3,237.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.