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Finding the Fourth Proportional to 3,199.80, 4,800.45 and 1,008.47

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Solution

The fourth proportional to 3,199.80, 4,800.45 and 1,008.47 is: 1,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.80 : 4,800.45 = 1,008.47 : x
  2. Step 2: Convert to fraction form
    3,199.80/4,800.45 = 1,008.47/x
  3. Step 3: Cross multiply
    3,199.80x = 4,800.45 × 1,008.47
  4. Step 4: Simplify right side
    3,199.80x = 4,841,109.81
  5. Step 5: Solve for x
    x = 4,841,109.81/3,199.80
  6. Step 6: Final answer
    x = 1,512.94

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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.