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Finding the Fourth Proportional to 2,863.60, 4,294.86 and 1,401.82

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Solution

The fourth proportional to 2,863.60, 4,294.86 and 1,401.82 is: 2,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.60 : 4,294.86 = 1,401.82 : x
  2. Step 2: Convert to fraction form
    2,863.60/4,294.86 = 1,401.82/x
  3. Step 3: Cross multiply
    2,863.60x = 4,294.86 × 1,401.82
  4. Step 4: Simplify right side
    2,863.60x = 6,020,620.65
  5. Step 5: Solve for x
    x = 6,020,620.65/2,863.60
  6. Step 6: Final answer
    x = 2,102.47

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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.