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Finding the Fourth Proportional to 2,649.09, 3,655.74 and 1,470.24

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Solution

The fourth proportional to 2,649.09, 3,655.74 and 1,470.24 is: 2,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.09 : 3,655.74 = 1,470.24 : x
  2. Step 2: Convert to fraction form
    2,649.09/3,655.74 = 1,470.24/x
  3. Step 3: Cross multiply
    2,649.09x = 3,655.74 × 1,470.24
  4. Step 4: Simplify right side
    2,649.09x = 5,374,815.18
  5. Step 5: Solve for x
    x = 5,374,815.18/2,649.09
  6. Step 6: Final answer
    x = 2,028.93

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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.