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Finding the Fourth Proportional to 2,650.50, 3,972.40 and 2,320.63

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Solution

The fourth proportional to 2,650.50, 3,972.40 and 2,320.63 is: 3,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.50 : 3,972.40 = 2,320.63 : x
  2. Step 2: Convert to fraction form
    2,650.50/3,972.40 = 2,320.63/x
  3. Step 3: Cross multiply
    2,650.50x = 3,972.40 × 2,320.63
  4. Step 4: Simplify right side
    2,650.50x = 9,218,470.61
  5. Step 5: Solve for x
    x = 9,218,470.61/2,650.50
  6. Step 6: Final answer
    x = 3,478.01

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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.