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Finding the Fourth Proportional to 1,648.65, 2,473.14 and 674.52

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Solution

The fourth proportional to 1,648.65, 2,473.14 and 674.52 is: 1,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.65 : 2,473.14 = 674.52 : x
  2. Step 2: Convert to fraction form
    1,648.65/2,473.14 = 674.52/x
  3. Step 3: Cross multiply
    1,648.65x = 2,473.14 × 674.52
  4. Step 4: Simplify right side
    1,648.65x = 1,668,182.39
  5. Step 5: Solve for x
    x = 1,668,182.39/1,648.65
  6. Step 6: Final answer
    x = 1,011.85

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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.