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Finding the Fourth Proportional to 2,865.86, 4,299.12 and 1,017.15

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Solution

The fourth proportional to 2,865.86, 4,299.12 and 1,017.15 is: 1,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.86 : 4,299.12 = 1,017.15 : x
  2. Step 2: Convert to fraction form
    2,865.86/4,299.12 = 1,017.15/x
  3. Step 3: Cross multiply
    2,865.86x = 4,299.12 × 1,017.15
  4. Step 4: Simplify right side
    2,865.86x = 4,372,849.91
  5. Step 5: Solve for x
    x = 4,372,849.91/2,865.86
  6. Step 6: Final answer
    x = 1,525.84

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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.