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Finding the Fourth Proportional to 2,465.38, 3,694.38 and 1,846.12

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Solution

The fourth proportional to 2,465.38, 3,694.38 and 1,846.12 is: 2,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.38 : 3,694.38 = 1,846.12 : x
  2. Step 2: Convert to fraction form
    2,465.38/3,694.38 = 1,846.12/x
  3. Step 3: Cross multiply
    2,465.38x = 3,694.38 × 1,846.12
  4. Step 4: Simplify right side
    2,465.38x = 6,820,268.81
  5. Step 5: Solve for x
    x = 6,820,268.81/2,465.38
  6. Step 6: Final answer
    x = 2,766.42

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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.