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Finding the Fourth Proportional to 3,178.95, 4,764.24 and 1,532.49

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Solution

The fourth proportional to 3,178.95, 4,764.24 and 1,532.49 is: 2,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.95 : 4,764.24 = 1,532.49 : x
  2. Step 2: Convert to fraction form
    3,178.95/4,764.24 = 1,532.49/x
  3. Step 3: Cross multiply
    3,178.95x = 4,764.24 × 1,532.49
  4. Step 4: Simplify right side
    3,178.95x = 7,301,150.16
  5. Step 5: Solve for x
    x = 7,301,150.16/3,178.95
  6. Step 6: Final answer
    x = 2,296.72

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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.