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Finding the Fourth Proportional to 2,292.38, 3,439.71 and 906.69

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Solution

The fourth proportional to 2,292.38, 3,439.71 and 906.69 is: 1,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.38 : 3,439.71 = 906.69 : x
  2. Step 2: Convert to fraction form
    2,292.38/3,439.71 = 906.69/x
  3. Step 3: Cross multiply
    2,292.38x = 3,439.71 × 906.69
  4. Step 4: Simplify right side
    2,292.38x = 3,118,750.66
  5. Step 5: Solve for x
    x = 3,118,750.66/2,292.38
  6. Step 6: Final answer
    x = 1,360.49

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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.