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Finding the Fourth Proportional to 2,396.92, 3,307.80 and 1,402.96

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Solution

The fourth proportional to 2,396.92, 3,307.80 and 1,402.96 is: 1,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.92 : 3,307.80 = 1,402.96 : x
  2. Step 2: Convert to fraction form
    2,396.92/3,307.80 = 1,402.96/x
  3. Step 3: Cross multiply
    2,396.92x = 3,307.80 × 1,402.96
  4. Step 4: Simplify right side
    2,396.92x = 4,640,711.09
  5. Step 5: Solve for x
    x = 4,640,711.09/2,396.92
  6. Step 6: Final answer
    x = 1,936.11

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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.