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Finding the Fourth Proportional to 4,100.71, 6,151.08 and 1,179.02

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Solution

The fourth proportional to 4,100.71, 6,151.08 and 1,179.02 is: 1,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.71 : 6,151.08 = 1,179.02 : x
  2. Step 2: Convert to fraction form
    4,100.71/6,151.08 = 1,179.02/x
  3. Step 3: Cross multiply
    4,100.71x = 6,151.08 × 1,179.02
  4. Step 4: Simplify right side
    4,100.71x = 7,252,246.34
  5. Step 5: Solve for x
    x = 7,252,246.34/4,100.71
  6. Step 6: Final answer
    x = 1,768.53

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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.