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Finding the Fourth Proportional to 1,765.38, 2,648.82 and 1,471.65

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Solution

The fourth proportional to 1,765.38, 2,648.82 and 1,471.65 is: 2,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.38 : 2,648.82 = 1,471.65 : x
  2. Step 2: Convert to fraction form
    1,765.38/2,648.82 = 1,471.65/x
  3. Step 3: Cross multiply
    1,765.38x = 2,648.82 × 1,471.65
  4. Step 4: Simplify right side
    1,765.38x = 3,898,135.95
  5. Step 5: Solve for x
    x = 3,898,135.95/1,765.38
  6. Step 6: Final answer
    x = 2,208.10

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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.