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Finding the Fourth Proportional to 1,617.42, 2,426.07 and 521.82

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Solution

The fourth proportional to 1,617.42, 2,426.07 and 521.82 is: 782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.42 : 2,426.07 = 521.82 : x
  2. Step 2: Convert to fraction form
    1,617.42/2,426.07 = 521.82/x
  3. Step 3: Cross multiply
    1,617.42x = 2,426.07 × 521.82
  4. Step 4: Simplify right side
    1,617.42x = 1,265,970.87
  5. Step 5: Solve for x
    x = 1,265,970.87/1,617.42
  6. Step 6: Final answer
    x = 782.71

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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.