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Finding the Fourth Proportional to 2,649.58, 3,656.26 and 1,470.66

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Solution

The fourth proportional to 2,649.58, 3,656.26 and 1,470.66 is: 2,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.58 : 3,656.26 = 1,470.66 : x
  2. Step 2: Convert to fraction form
    2,649.58/3,656.26 = 1,470.66/x
  3. Step 3: Cross multiply
    2,649.58x = 3,656.26 × 1,470.66
  4. Step 4: Simplify right side
    2,649.58x = 5,377,115.33
  5. Step 5: Solve for x
    x = 5,377,115.33/2,649.58
  6. Step 6: Final answer
    x = 2,029.42

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