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Finding the Fourth Proportional to 1,649.66, 2,288.20 and 1,590.56

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Solution

The fourth proportional to 1,649.66, 2,288.20 and 1,590.56 is: 2,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.66 : 2,288.20 = 1,590.56 : x
  2. Step 2: Convert to fraction form
    1,649.66/2,288.20 = 1,590.56/x
  3. Step 3: Cross multiply
    1,649.66x = 2,288.20 × 1,590.56
  4. Step 4: Simplify right side
    1,649.66x = 3,639,519.39
  5. Step 5: Solve for x
    x = 3,639,519.39/1,649.66
  6. Step 6: Final answer
    x = 2,206.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.