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Finding the Fourth Proportional to 1,763.15, 2,644.96 and 652.42

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Solution

The fourth proportional to 1,763.15, 2,644.96 and 652.42 is: 978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.15 : 2,644.96 = 652.42 : x
  2. Step 2: Convert to fraction form
    1,763.15/2,644.96 = 652.42/x
  3. Step 3: Cross multiply
    1,763.15x = 2,644.96 × 652.42
  4. Step 4: Simplify right side
    1,763.15x = 1,725,608.32
  5. Step 5: Solve for x
    x = 1,725,608.32/1,763.15
  6. Step 6: Final answer
    x = 978.71

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