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Finding the Fourth Proportional to 2,522.99, 3,785.10 and 879.55

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Solution

The fourth proportional to 2,522.99, 3,785.10 and 879.55 is: 1,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.99 : 3,785.10 = 879.55 : x
  2. Step 2: Convert to fraction form
    2,522.99/3,785.10 = 879.55/x
  3. Step 3: Cross multiply
    2,522.99x = 3,785.10 × 879.55
  4. Step 4: Simplify right side
    2,522.99x = 3,329,184.71
  5. Step 5: Solve for x
    x = 3,329,184.71/2,522.99
  6. Step 6: Final answer
    x = 1,319.54

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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.