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Finding the Fourth Proportional to 2,345.82, 3,517.08 and 1,174.99

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Solution

The fourth proportional to 2,345.82, 3,517.08 and 1,174.99 is: 1,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.82 : 3,517.08 = 1,174.99 : x
  2. Step 2: Convert to fraction form
    2,345.82/3,517.08 = 1,174.99/x
  3. Step 3: Cross multiply
    2,345.82x = 3,517.08 × 1,174.99
  4. Step 4: Simplify right side
    2,345.82x = 4,132,533.83
  5. Step 5: Solve for x
    x = 4,132,533.83/2,345.82
  6. Step 6: Final answer
    x = 1,761.66

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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.