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Finding the Fourth Proportional to 2,644.16, 3,648.80 and 1,465.20

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Solution

The fourth proportional to 2,644.16, 3,648.80 and 1,465.20 is: 2,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.16 : 3,648.80 = 1,465.20 : x
  2. Step 2: Convert to fraction form
    2,644.16/3,648.80 = 1,465.20/x
  3. Step 3: Cross multiply
    2,644.16x = 3,648.80 × 1,465.20
  4. Step 4: Simplify right side
    2,644.16x = 5,346,221.76
  5. Step 5: Solve for x
    x = 5,346,221.76/2,644.16
  6. Step 6: Final answer
    x = 2,021.90

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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.