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Finding the Fourth Proportional to 2,881.68, 4,320.97 and 906.94

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Solution

The fourth proportional to 2,881.68, 4,320.97 and 906.94 is: 1,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.68 : 4,320.97 = 906.94 : x
  2. Step 2: Convert to fraction form
    2,881.68/4,320.97 = 906.94/x
  3. Step 3: Cross multiply
    2,881.68x = 4,320.97 × 906.94
  4. Step 4: Simplify right side
    2,881.68x = 3,918,860.67
  5. Step 5: Solve for x
    x = 3,918,860.67/2,881.68
  6. Step 6: Final answer
    x = 1,359.92

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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.