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Finding the Fourth Proportional to 1,616.95, 2,408.20 and 1,559.54

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Solution

The fourth proportional to 1,616.95, 2,408.20 and 1,559.54 is: 2,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.95 : 2,408.20 = 1,559.54 : x
  2. Step 2: Convert to fraction form
    1,616.95/2,408.20 = 1,559.54/x
  3. Step 3: Cross multiply
    1,616.95x = 2,408.20 × 1,559.54
  4. Step 4: Simplify right side
    1,616.95x = 3,755,684.23
  5. Step 5: Solve for x
    x = 3,755,684.23/1,616.95
  6. Step 6: Final answer
    x = 2,322.70

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1.5x scale

Why These Related Problems?

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