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Finding the Fourth Proportional to 1,617.10, 2,426.10 and 521.55

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Solution

The fourth proportional to 1,617.10, 2,426.10 and 521.55 is: 782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.10 : 2,426.10 = 521.55 : x
  2. Step 2: Convert to fraction form
    1,617.10/2,426.10 = 521.55/x
  3. Step 3: Cross multiply
    1,617.10x = 2,426.10 × 521.55
  4. Step 4: Simplify right side
    1,617.10x = 1,265,326.61
  5. Step 5: Solve for x
    x = 1,265,326.61/1,617.10
  6. Step 6: Final answer
    x = 782.47

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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.