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Finding the Fourth Proportional to 2,829.90, 4,241.43 and 2,497.77

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Solution

The fourth proportional to 2,829.90, 4,241.43 and 2,497.77 is: 3,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.90 : 4,241.43 = 2,497.77 : x
  2. Step 2: Convert to fraction form
    2,829.90/4,241.43 = 2,497.77/x
  3. Step 3: Cross multiply
    2,829.90x = 4,241.43 × 2,497.77
  4. Step 4: Simplify right side
    2,829.90x = 10,594,116.61
  5. Step 5: Solve for x
    x = 10,594,116.61/2,829.90
  6. Step 6: Final answer
    x = 3,743.64

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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.