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Finding the Fourth Proportional to 2,863.42, 4,295.16 and 1,132

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Solution

The fourth proportional to 2,863.42, 4,295.16 and 1,132 is: 1,698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.42 : 4,295.16 = 1,132 : x
  2. Step 2: Convert to fraction form
    2,863.42/4,295.16 = 1,132/x
  3. Step 3: Cross multiply
    2,863.42x = 4,295.16 × 1,132
  4. Step 4: Simplify right side
    2,863.42x = 4,862,121.12
  5. Step 5: Solve for x
    x = 4,862,121.12/2,863.42
  6. Step 6: Final answer
    x = 1,698.01

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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.