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Finding the Fourth Proportional to 2,697.83, 4,046.93 and 918.17

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Solution

The fourth proportional to 2,697.83, 4,046.93 and 918.17 is: 1,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.83 : 4,046.93 = 918.17 : x
  2. Step 2: Convert to fraction form
    2,697.83/4,046.93 = 918.17/x
  3. Step 3: Cross multiply
    2,697.83x = 4,046.93 × 918.17
  4. Step 4: Simplify right side
    2,697.83x = 3,715,769.72
  5. Step 5: Solve for x
    x = 3,715,769.72/2,697.83
  6. Step 6: Final answer
    x = 1,377.32

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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.