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Finding the Fourth Proportional to 2,500.75, 3,452.66 and 1,570.87

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Solution

The fourth proportional to 2,500.75, 3,452.66 and 1,570.87 is: 2,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.75 : 3,452.66 = 1,570.87 : x
  2. Step 2: Convert to fraction form
    2,500.75/3,452.66 = 1,570.87/x
  3. Step 3: Cross multiply
    2,500.75x = 3,452.66 × 1,570.87
  4. Step 4: Simplify right side
    2,500.75x = 5,423,680.01
  5. Step 5: Solve for x
    x = 5,423,680.01/2,500.75
  6. Step 6: Final answer
    x = 2,168.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.