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Finding the Fourth Proportional to 1,648.56, 2,473.74 and 674.58

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Solution

The fourth proportional to 1,648.56, 2,473.74 and 674.58 is: 1,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.56 : 2,473.74 = 674.58 : x
  2. Step 2: Convert to fraction form
    1,648.56/2,473.74 = 674.58/x
  3. Step 3: Cross multiply
    1,648.56x = 2,473.74 × 674.58
  4. Step 4: Simplify right side
    1,648.56x = 1,668,735.53
  5. Step 5: Solve for x
    x = 1,668,735.53/1,648.56
  6. Step 6: Final answer
    x = 1,012.24

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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.