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Finding the Fourth Proportional to 2,617.74, 3,926.61 and 1,232.06

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Solution

The fourth proportional to 2,617.74, 3,926.61 and 1,232.06 is: 1,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.74 : 3,926.61 = 1,232.06 : x
  2. Step 2: Convert to fraction form
    2,617.74/3,926.61 = 1,232.06/x
  3. Step 3: Cross multiply
    2,617.74x = 3,926.61 × 1,232.06
  4. Step 4: Simplify right side
    2,617.74x = 4,837,799.48
  5. Step 5: Solve for x
    x = 4,837,799.48/2,617.74
  6. Step 6: Final answer
    x = 1,848.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.