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Finding the Fourth Proportional to 2,637.74, 3,956.34 and 689.69

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Solution

The fourth proportional to 2,637.74, 3,956.34 and 689.69 is: 1,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.74 : 3,956.34 = 689.69 : x
  2. Step 2: Convert to fraction form
    2,637.74/3,956.34 = 689.69/x
  3. Step 3: Cross multiply
    2,637.74x = 3,956.34 × 689.69
  4. Step 4: Simplify right side
    2,637.74x = 2,728,648.13
  5. Step 5: Solve for x
    x = 2,728,648.13/2,637.74
  6. Step 6: Final answer
    x = 1,034.46

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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.