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Finding the Fourth Proportional to 2,396.96, 3,306.16 and 1,465.92

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Solution

The fourth proportional to 2,396.96, 3,306.16 and 1,465.92 is: 2,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.96 : 3,306.16 = 1,465.92 : x
  2. Step 2: Convert to fraction form
    2,396.96/3,306.16 = 1,465.92/x
  3. Step 3: Cross multiply
    2,396.96x = 3,306.16 × 1,465.92
  4. Step 4: Simplify right side
    2,396.96x = 4,846,566.07
  5. Step 5: Solve for x
    x = 4,846,566.07/2,396.96
  6. Step 6: Final answer
    x = 2,021.96

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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.