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Finding the Fourth Proportional to 1,883.76, 2,824.53 and 881.97

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Solution

The fourth proportional to 1,883.76, 2,824.53 and 881.97 is: 1,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.76 : 2,824.53 = 881.97 : x
  2. Step 2: Convert to fraction form
    1,883.76/2,824.53 = 881.97/x
  3. Step 3: Cross multiply
    1,883.76x = 2,824.53 × 881.97
  4. Step 4: Simplify right side
    1,883.76x = 2,491,150.72
  5. Step 5: Solve for x
    x = 2,491,150.72/1,883.76
  6. Step 6: Final answer
    x = 1,322.44

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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.