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Finding the Fourth Proportional to 2,415.66, 3,617.80 and 1,179.20

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Solution

The fourth proportional to 2,415.66, 3,617.80 and 1,179.20 is: 1,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.66 : 3,617.80 = 1,179.20 : x
  2. Step 2: Convert to fraction form
    2,415.66/3,617.80 = 1,179.20/x
  3. Step 3: Cross multiply
    2,415.66x = 3,617.80 × 1,179.20
  4. Step 4: Simplify right side
    2,415.66x = 4,266,109.76
  5. Step 5: Solve for x
    x = 4,266,109.76/2,415.66
  6. Step 6: Final answer
    x = 1,766.02

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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.