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Finding the Fourth Proportional to 2,850.52, 3,933.72 and 1,655.74

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Solution

The fourth proportional to 2,850.52, 3,933.72 and 1,655.74 is: 2,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.52 : 3,933.72 = 1,655.74 : x
  2. Step 2: Convert to fraction form
    2,850.52/3,933.72 = 1,655.74/x
  3. Step 3: Cross multiply
    2,850.52x = 3,933.72 × 1,655.74
  4. Step 4: Simplify right side
    2,850.52x = 6,513,217.55
  5. Step 5: Solve for x
    x = 6,513,217.55/2,850.52
  6. Step 6: Final answer
    x = 2,284.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.