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Finding the Fourth Proportional to 2,637.35, 3,637.83 and 1,691.65

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Solution

The fourth proportional to 2,637.35, 3,637.83 and 1,691.65 is: 2,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.35 : 3,637.83 = 1,691.65 : x
  2. Step 2: Convert to fraction form
    2,637.35/3,637.83 = 1,691.65/x
  3. Step 3: Cross multiply
    2,637.35x = 3,637.83 × 1,691.65
  4. Step 4: Simplify right side
    2,637.35x = 6,153,934.95
  5. Step 5: Solve for x
    x = 6,153,934.95/2,637.35
  6. Step 6: Final answer
    x = 2,333.37

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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.