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Finding the Fourth Proportional to 1,649.13, 2,473.74 and 674.55

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Solution

The fourth proportional to 1,649.13, 2,473.74 and 674.55 is: 1,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.13 : 2,473.74 = 674.55 : x
  2. Step 2: Convert to fraction form
    1,649.13/2,473.74 = 674.55/x
  3. Step 3: Cross multiply
    1,649.13x = 2,473.74 × 674.55
  4. Step 4: Simplify right side
    1,649.13x = 1,668,661.32
  5. Step 5: Solve for x
    x = 1,668,661.32/1,649.13
  6. Step 6: Final answer
    x = 1,011.84

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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.