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Finding the Fourth Proportional to 1,649.15, 2,473.77 and 538.56

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Solution

The fourth proportional to 1,649.15, 2,473.77 and 538.56 is: 807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.15 : 2,473.77 = 538.56 : x
  2. Step 2: Convert to fraction form
    1,649.15/2,473.77 = 538.56/x
  3. Step 3: Cross multiply
    1,649.15x = 2,473.77 × 538.56
  4. Step 4: Simplify right side
    1,649.15x = 1,332,270.88
  5. Step 5: Solve for x
    x = 1,332,270.88/1,649.15
  6. Step 6: Final answer
    x = 807.86

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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.