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Finding the Fourth Proportional to 2,733.84, 4,101.55 and 884.91

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Solution

The fourth proportional to 2,733.84, 4,101.55 and 884.91 is: 1,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.84 : 4,101.55 = 884.91 : x
  2. Step 2: Convert to fraction form
    2,733.84/4,101.55 = 884.91/x
  3. Step 3: Cross multiply
    2,733.84x = 4,101.55 × 884.91
  4. Step 4: Simplify right side
    2,733.84x = 3,629,502.61
  5. Step 5: Solve for x
    x = 3,629,502.61/2,733.84
  6. Step 6: Final answer
    x = 1,327.62

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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.