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Finding the Fourth Proportional to 2,185.68, 3,278.56 and 800.04

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Solution

The fourth proportional to 2,185.68, 3,278.56 and 800.04 is: 1,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.68 : 3,278.56 = 800.04 : x
  2. Step 2: Convert to fraction form
    2,185.68/3,278.56 = 800.04/x
  3. Step 3: Cross multiply
    2,185.68x = 3,278.56 × 800.04
  4. Step 4: Simplify right side
    2,185.68x = 2,622,972.50
  5. Step 5: Solve for x
    x = 2,622,972.50/2,185.68
  6. Step 6: Final answer
    x = 1,200.07

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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.