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Finding the Fourth Proportional to 3,254.60, 4,879.94 and 1,277.87

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Solution

The fourth proportional to 3,254.60, 4,879.94 and 1,277.87 is: 1,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.60 : 4,879.94 = 1,277.87 : x
  2. Step 2: Convert to fraction form
    3,254.60/4,879.94 = 1,277.87/x
  3. Step 3: Cross multiply
    3,254.60x = 4,879.94 × 1,277.87
  4. Step 4: Simplify right side
    3,254.60x = 6,235,898.14
  5. Step 5: Solve for x
    x = 6,235,898.14/3,254.60
  6. Step 6: Final answer
    x = 1,916.02

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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.