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Finding the Fourth Proportional to 2,801.71, 4,203.98 and 1,159.44

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Solution

The fourth proportional to 2,801.71, 4,203.98 and 1,159.44 is: 1,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.71 : 4,203.98 = 1,159.44 : x
  2. Step 2: Convert to fraction form
    2,801.71/4,203.98 = 1,159.44/x
  3. Step 3: Cross multiply
    2,801.71x = 4,203.98 × 1,159.44
  4. Step 4: Simplify right side
    2,801.71x = 4,874,241.55
  5. Step 5: Solve for x
    x = 4,874,241.55/2,801.71
  6. Step 6: Final answer
    x = 1,739.74

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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.