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Finding the Fourth Proportional to 2,426.59, 3,642.42 and 2,150.70

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Solution

The fourth proportional to 2,426.59, 3,642.42 and 2,150.70 is: 3,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.59 : 3,642.42 = 2,150.70 : x
  2. Step 2: Convert to fraction form
    2,426.59/3,642.42 = 2,150.70/x
  3. Step 3: Cross multiply
    2,426.59x = 3,642.42 × 2,150.70
  4. Step 4: Simplify right side
    2,426.59x = 7,833,755.49
  5. Step 5: Solve for x
    x = 7,833,755.49/2,426.59
  6. Step 6: Final answer
    x = 3,228.30

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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.