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Finding the Fourth Proportional to 3,151.98, 4,729.05 and 1,204.74

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Solution

The fourth proportional to 3,151.98, 4,729.05 and 1,204.74 is: 1,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.98 : 4,729.05 = 1,204.74 : x
  2. Step 2: Convert to fraction form
    3,151.98/4,729.05 = 1,204.74/x
  3. Step 3: Cross multiply
    3,151.98x = 4,729.05 × 1,204.74
  4. Step 4: Simplify right side
    3,151.98x = 5,697,275.70
  5. Step 5: Solve for x
    x = 5,697,275.70/3,151.98
  6. Step 6: Final answer
    x = 1,807.52

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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.