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Finding the Fourth Proportional to 1,655.20, 2,465.64 and 1,616.80

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Solution

The fourth proportional to 1,655.20, 2,465.64 and 1,616.80 is: 2,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.20 : 2,465.64 = 1,616.80 : x
  2. Step 2: Convert to fraction form
    1,655.20/2,465.64 = 1,616.80/x
  3. Step 3: Cross multiply
    1,655.20x = 2,465.64 × 1,616.80
  4. Step 4: Simplify right side
    1,655.20x = 3,986,446.75
  5. Step 5: Solve for x
    x = 3,986,446.75/1,655.20
  6. Step 6: Final answer
    x = 2,408.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.