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Finding the Fourth Proportional to 1,765.90, 2,648.86 and 449.65

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Solution

The fourth proportional to 1,765.90, 2,648.86 and 449.65 is: 674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.90 : 2,648.86 = 449.65 : x
  2. Step 2: Convert to fraction form
    1,765.90/2,648.86 = 449.65/x
  3. Step 3: Cross multiply
    1,765.90x = 2,648.86 × 449.65
  4. Step 4: Simplify right side
    1,765.90x = 1,191,059.90
  5. Step 5: Solve for x
    x = 1,191,059.90/1,765.90
  6. Step 6: Final answer
    x = 674.48

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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.