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Finding the Fourth Proportional to 2,063.50, 2,847.63 and 1,132

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Solution

The fourth proportional to 2,063.50, 2,847.63 and 1,132 is: 1,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.50 : 2,847.63 = 1,132 : x
  2. Step 2: Convert to fraction form
    2,063.50/2,847.63 = 1,132/x
  3. Step 3: Cross multiply
    2,063.50x = 2,847.63 × 1,132
  4. Step 4: Simplify right side
    2,063.50x = 3,223,517.16
  5. Step 5: Solve for x
    x = 3,223,517.16/2,063.50
  6. Step 6: Final answer
    x = 1,562.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.