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Finding the Fourth Proportional to 1,883.04, 2,824.56 and 908.96

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Solution

The fourth proportional to 1,883.04, 2,824.56 and 908.96 is: 1,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.04 : 2,824.56 = 908.96 : x
  2. Step 2: Convert to fraction form
    1,883.04/2,824.56 = 908.96/x
  3. Step 3: Cross multiply
    1,883.04x = 2,824.56 × 908.96
  4. Step 4: Simplify right side
    1,883.04x = 2,567,412.06
  5. Step 5: Solve for x
    x = 2,567,412.06/1,883.04
  6. Step 6: Final answer
    x = 1,363.44

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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.