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Finding the Fourth Proportional to 2,573.95, 3,861.10 and 1,275.07

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Solution

The fourth proportional to 2,573.95, 3,861.10 and 1,275.07 is: 1,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.95 : 3,861.10 = 1,275.07 : x
  2. Step 2: Convert to fraction form
    2,573.95/3,861.10 = 1,275.07/x
  3. Step 3: Cross multiply
    2,573.95x = 3,861.10 × 1,275.07
  4. Step 4: Simplify right side
    2,573.95x = 4,923,172.78
  5. Step 5: Solve for x
    x = 4,923,172.78/2,573.95
  6. Step 6: Final answer
    x = 1,912.69

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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.