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Finding the Fourth Proportional to 2,132.89, 3,199.76 and 900.29

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Solution

The fourth proportional to 2,132.89, 3,199.76 and 900.29 is: 1,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.89 : 3,199.76 = 900.29 : x
  2. Step 2: Convert to fraction form
    2,132.89/3,199.76 = 900.29/x
  3. Step 3: Cross multiply
    2,132.89x = 3,199.76 × 900.29
  4. Step 4: Simplify right side
    2,132.89x = 2,880,711.93
  5. Step 5: Solve for x
    x = 2,880,711.93/2,132.89
  6. Step 6: Final answer
    x = 1,350.61

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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.