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Finding the Fourth Proportional to 2,184.98, 3,277.38 and 952.39

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Solution

The fourth proportional to 2,184.98, 3,277.38 and 952.39 is: 1,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.98 : 3,277.38 = 952.39 : x
  2. Step 2: Convert to fraction form
    2,184.98/3,277.38 = 952.39/x
  3. Step 3: Cross multiply
    2,184.98x = 3,277.38 × 952.39
  4. Step 4: Simplify right side
    2,184.98x = 3,121,327.55
  5. Step 5: Solve for x
    x = 3,121,327.55/2,184.98
  6. Step 6: Final answer
    x = 1,428.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.