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Finding the Fourth Proportional to 2,648.62, 3,655.05 and 1,469.74

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Solution

The fourth proportional to 2,648.62, 3,655.05 and 1,469.74 is: 2,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.62 : 3,655.05 = 1,469.74 : x
  2. Step 2: Convert to fraction form
    2,648.62/3,655.05 = 1,469.74/x
  3. Step 3: Cross multiply
    2,648.62x = 3,655.05 × 1,469.74
  4. Step 4: Simplify right side
    2,648.62x = 5,371,973.19
  5. Step 5: Solve for x
    x = 5,371,973.19/2,648.62
  6. Step 6: Final answer
    x = 2,028.22

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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.