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Finding the Fourth Proportional to 2,863.56, 4,295.74 and 1,402.76

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Solution

The fourth proportional to 2,863.56, 4,295.74 and 1,402.76 is: 2,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.56 : 4,295.74 = 1,402.76 : x
  2. Step 2: Convert to fraction form
    2,863.56/4,295.74 = 1,402.76/x
  3. Step 3: Cross multiply
    2,863.56x = 4,295.74 × 1,402.76
  4. Step 4: Simplify right side
    2,863.56x = 6,025,892.24
  5. Step 5: Solve for x
    x = 6,025,892.24/2,863.56
  6. Step 6: Final answer
    x = 2,104.34

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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.