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Finding the Fourth Proportional to 2,398.70, 3,311.73 and 1,957.65

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Solution

The fourth proportional to 2,398.70, 3,311.73 and 1,957.65 is: 2,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.70 : 3,311.73 = 1,957.65 : x
  2. Step 2: Convert to fraction form
    2,398.70/3,311.73 = 1,957.65/x
  3. Step 3: Cross multiply
    2,398.70x = 3,311.73 × 1,957.65
  4. Step 4: Simplify right side
    2,398.70x = 6,483,208.23
  5. Step 5: Solve for x
    x = 6,483,208.23/2,398.70
  6. Step 6: Final answer
    x = 2,702.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.