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Finding the Fourth Proportional to 1,644.38, 2,465.45 and 617.50

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Solution

The fourth proportional to 1,644.38, 2,465.45 and 617.50 is: 925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.38 : 2,465.45 = 617.50 : x
  2. Step 2: Convert to fraction form
    1,644.38/2,465.45 = 617.50/x
  3. Step 3: Cross multiply
    1,644.38x = 2,465.45 × 617.50
  4. Step 4: Simplify right side
    1,644.38x = 1,522,415.38
  5. Step 5: Solve for x
    x = 1,522,415.38/1,644.38
  6. Step 6: Final answer
    x = 925.83

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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.