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Finding the Fourth Proportional to 2,873.78, 3,965.46 and 1,614.68

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Solution

The fourth proportional to 2,873.78, 3,965.46 and 1,614.68 is: 2,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.78 : 3,965.46 = 1,614.68 : x
  2. Step 2: Convert to fraction form
    2,873.78/3,965.46 = 1,614.68/x
  3. Step 3: Cross multiply
    2,873.78x = 3,965.46 × 1,614.68
  4. Step 4: Simplify right side
    2,873.78x = 6,402,960.25
  5. Step 5: Solve for x
    x = 6,402,960.25/2,873.78
  6. Step 6: Final answer
    x = 2,228.06

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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.