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Finding the Fourth Proportional to 2,678.16, 4,025.16 and 2,218.86

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Solution

The fourth proportional to 2,678.16, 4,025.16 and 2,218.86 is: 3,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.16 : 4,025.16 = 2,218.86 : x
  2. Step 2: Convert to fraction form
    2,678.16/4,025.16 = 2,218.86/x
  3. Step 3: Cross multiply
    2,678.16x = 4,025.16 × 2,218.86
  4. Step 4: Simplify right side
    2,678.16x = 8,931,266.52
  5. Step 5: Solve for x
    x = 8,931,266.52/2,678.16
  6. Step 6: Final answer
    x = 3,334.85

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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.