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Finding the Fourth Proportional to 2,649.78, 3,656.73 and 1,470.93

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Solution

The fourth proportional to 2,649.78, 3,656.73 and 1,470.93 is: 2,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.78 : 3,656.73 = 1,470.93 : x
  2. Step 2: Convert to fraction form
    2,649.78/3,656.73 = 1,470.93/x
  3. Step 3: Cross multiply
    2,649.78x = 3,656.73 × 1,470.93
  4. Step 4: Simplify right side
    2,649.78x = 5,378,785.66
  5. Step 5: Solve for x
    x = 5,378,785.66/2,649.78
  6. Step 6: Final answer
    x = 2,029.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.