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Finding the Fourth Proportional to 2,649.69, 3,656.48 and 1,470.84

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Solution

The fourth proportional to 2,649.69, 3,656.48 and 1,470.84 is: 2,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.69 : 3,656.48 = 1,470.84 : x
  2. Step 2: Convert to fraction form
    2,649.69/3,656.48 = 1,470.84/x
  3. Step 3: Cross multiply
    2,649.69x = 3,656.48 × 1,470.84
  4. Step 4: Simplify right side
    2,649.69x = 5,378,089.69
  5. Step 5: Solve for x
    x = 5,378,089.69/2,649.69
  6. Step 6: Final answer
    x = 2,029.71

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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.