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Finding the Fourth Proportional to 2,854.37, 4,276.50 and 2,544.77

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Solution

The fourth proportional to 2,854.37, 4,276.50 and 2,544.77 is: 3,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.37 : 4,276.50 = 2,544.77 : x
  2. Step 2: Convert to fraction form
    2,854.37/4,276.50 = 2,544.77/x
  3. Step 3: Cross multiply
    2,854.37x = 4,276.50 × 2,544.77
  4. Step 4: Simplify right side
    2,854.37x = 10,882,687.52
  5. Step 5: Solve for x
    x = 10,882,687.52/2,854.37
  6. Step 6: Final answer
    x = 3,812.65

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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.