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Finding the Fourth Proportional to 3,200.97, 4,798.60 and 1,254.53

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Solution

The fourth proportional to 3,200.97, 4,798.60 and 1,254.53 is: 1,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.97 : 4,798.60 = 1,254.53 : x
  2. Step 2: Convert to fraction form
    3,200.97/4,798.60 = 1,254.53/x
  3. Step 3: Cross multiply
    3,200.97x = 4,798.60 × 1,254.53
  4. Step 4: Simplify right side
    3,200.97x = 6,019,987.66
  5. Step 5: Solve for x
    x = 6,019,987.66/3,200.97
  6. Step 6: Final answer
    x = 1,880.68

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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.