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Finding the Fourth Proportional to 3,614.97, 4,989.12 and 2,043.06

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Solution

The fourth proportional to 3,614.97, 4,989.12 and 2,043.06 is: 2,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.97 : 4,989.12 = 2,043.06 : x
  2. Step 2: Convert to fraction form
    3,614.97/4,989.12 = 2,043.06/x
  3. Step 3: Cross multiply
    3,614.97x = 4,989.12 × 2,043.06
  4. Step 4: Simplify right side
    3,614.97x = 10,193,071.51
  5. Step 5: Solve for x
    x = 10,193,071.51/3,614.97
  6. Step 6: Final answer
    x = 2,819.68

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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.