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Finding the Fourth Proportional to 2,406.74, 3,292.74 and 2,396.36

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Solution

The fourth proportional to 2,406.74, 3,292.74 and 2,396.36 is: 3,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.74 : 3,292.74 = 2,396.36 : x
  2. Step 2: Convert to fraction form
    2,406.74/3,292.74 = 2,396.36/x
  3. Step 3: Cross multiply
    2,406.74x = 3,292.74 × 2,396.36
  4. Step 4: Simplify right side
    2,406.74x = 7,890,598.66
  5. Step 5: Solve for x
    x = 7,890,598.66/2,406.74
  6. Step 6: Final answer
    x = 3,278.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.