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Finding the Fourth Proportional to 2,649.11, 3,655.62 and 1,470.09

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Solution

The fourth proportional to 2,649.11, 3,655.62 and 1,470.09 is: 2,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.11 : 3,655.62 = 1,470.09 : x
  2. Step 2: Convert to fraction form
    2,649.11/3,655.62 = 1,470.09/x
  3. Step 3: Cross multiply
    2,649.11x = 3,655.62 × 1,470.09
  4. Step 4: Simplify right side
    2,649.11x = 5,374,090.41
  5. Step 5: Solve for x
    x = 5,374,090.41/2,649.11
  6. Step 6: Final answer
    x = 2,028.64

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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.