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Finding the Fourth Proportional to 2,292.74, 3,438.46 and 886.83

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Solution

The fourth proportional to 2,292.74, 3,438.46 and 886.83 is: 1,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.74 : 3,438.46 = 886.83 : x
  2. Step 2: Convert to fraction form
    2,292.74/3,438.46 = 886.83/x
  3. Step 3: Cross multiply
    2,292.74x = 3,438.46 × 886.83
  4. Step 4: Simplify right side
    2,292.74x = 3,049,334.54
  5. Step 5: Solve for x
    x = 3,049,334.54/2,292.74
  6. Step 6: Final answer
    x = 1,330.00

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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.