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Finding the Fourth Proportional to 2,867.86, 4,302.12 and 1,019.15

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Solution

The fourth proportional to 2,867.86, 4,302.12 and 1,019.15 is: 1,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.86 : 4,302.12 = 1,019.15 : x
  2. Step 2: Convert to fraction form
    2,867.86/4,302.12 = 1,019.15/x
  3. Step 3: Cross multiply
    2,867.86x = 4,302.12 × 1,019.15
  4. Step 4: Simplify right side
    2,867.86x = 4,384,505.60
  5. Step 5: Solve for x
    x = 4,384,505.60/2,867.86
  6. Step 6: Final answer
    x = 1,528.84

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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.