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Finding the Fourth Proportional to 2,510.93, 3,763.67 and 2,144.61

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Solution

The fourth proportional to 2,510.93, 3,763.67 and 2,144.61 is: 3,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.93 : 3,763.67 = 2,144.61 : x
  2. Step 2: Convert to fraction form
    2,510.93/3,763.67 = 2,144.61/x
  3. Step 3: Cross multiply
    2,510.93x = 3,763.67 × 2,144.61
  4. Step 4: Simplify right side
    2,510.93x = 8,071,593.60
  5. Step 5: Solve for x
    x = 8,071,593.60/2,510.93
  6. Step 6: Final answer
    x = 3,214.58

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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.