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Finding the Fourth Proportional to 3,178.98, 4,761.09 and 1,530.18

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Solution

The fourth proportional to 3,178.98, 4,761.09 and 1,530.18 is: 2,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.98 : 4,761.09 = 1,530.18 : x
  2. Step 2: Convert to fraction form
    3,178.98/4,761.09 = 1,530.18/x
  3. Step 3: Cross multiply
    3,178.98x = 4,761.09 × 1,530.18
  4. Step 4: Simplify right side
    3,178.98x = 7,285,324.70
  5. Step 5: Solve for x
    x = 7,285,324.70/3,178.98
  6. Step 6: Final answer
    x = 2,291.72

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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.