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Finding the Fourth Proportional to 2,863.80, 4,296.30 and 1,630.20

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Solution

The fourth proportional to 2,863.80, 4,296.30 and 1,630.20 is: 2,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.80 : 4,296.30 = 1,630.20 : x
  2. Step 2: Convert to fraction form
    2,863.80/4,296.30 = 1,630.20/x
  3. Step 3: Cross multiply
    2,863.80x = 4,296.30 × 1,630.20
  4. Step 4: Simplify right side
    2,863.80x = 7,003,828.26
  5. Step 5: Solve for x
    x = 7,003,828.26/2,863.80
  6. Step 6: Final answer
    x = 2,445.64

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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.