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Finding the Fourth Proportional to 1,617.53, 2,426.63 and 521.85

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Solution

The fourth proportional to 1,617.53, 2,426.63 and 521.85 is: 782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.53 : 2,426.63 = 521.85 : x
  2. Step 2: Convert to fraction form
    1,617.53/2,426.63 = 521.85/x
  3. Step 3: Cross multiply
    1,617.53x = 2,426.63 × 521.85
  4. Step 4: Simplify right side
    1,617.53x = 1,266,338.17
  5. Step 5: Solve for x
    x = 1,266,338.17/1,617.53
  6. Step 6: Final answer
    x = 782.89

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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.