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Finding the Fourth Proportional to 2,644.18, 3,648.80 and 1,465.25

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Solution

The fourth proportional to 2,644.18, 3,648.80 and 1,465.25 is: 2,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.18 : 3,648.80 = 1,465.25 : x
  2. Step 2: Convert to fraction form
    2,644.18/3,648.80 = 1,465.25/x
  3. Step 3: Cross multiply
    2,644.18x = 3,648.80 × 1,465.25
  4. Step 4: Simplify right side
    2,644.18x = 5,346,404.20
  5. Step 5: Solve for x
    x = 5,346,404.20/2,644.18
  6. Step 6: Final answer
    x = 2,021.95

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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.