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Finding the Fourth Proportional to 2,649.44, 3,656.13 and 1,470.49

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Solution

The fourth proportional to 2,649.44, 3,656.13 and 1,470.49 is: 2,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.44 : 3,656.13 = 1,470.49 : x
  2. Step 2: Convert to fraction form
    2,649.44/3,656.13 = 1,470.49/x
  3. Step 3: Cross multiply
    2,649.44x = 3,656.13 × 1,470.49
  4. Step 4: Simplify right side
    2,649.44x = 5,376,302.60
  5. Step 5: Solve for x
    x = 5,376,302.60/2,649.44
  6. Step 6: Final answer
    x = 2,029.22

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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.