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Finding the Fourth Proportional to 2,834.84, 3,912.54 and 2,368.92

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Solution

The fourth proportional to 2,834.84, 3,912.54 and 2,368.92 is: 3,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.84 : 3,912.54 = 2,368.92 : x
  2. Step 2: Convert to fraction form
    2,834.84/3,912.54 = 2,368.92/x
  3. Step 3: Cross multiply
    2,834.84x = 3,912.54 × 2,368.92
  4. Step 4: Simplify right side
    2,834.84x = 9,268,494.26
  5. Step 5: Solve for x
    x = 9,268,494.26/2,834.84
  6. Step 6: Final answer
    x = 3,269.49

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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.