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Finding the Fourth Proportional to 1,649.40, 2,473.46 and 538.52

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Solution

The fourth proportional to 1,649.40, 2,473.46 and 538.52 is: 807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.40 : 2,473.46 = 538.52 : x
  2. Step 2: Convert to fraction form
    1,649.40/2,473.46 = 538.52/x
  3. Step 3: Cross multiply
    1,649.40x = 2,473.46 × 538.52
  4. Step 4: Simplify right side
    1,649.40x = 1,332,007.68
  5. Step 5: Solve for x
    x = 1,332,007.68/1,649.40
  6. Step 6: Final answer
    x = 807.57

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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.