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Finding the Fourth Proportional to 2,188.08, 3,281.04 and 800.42

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Solution

The fourth proportional to 2,188.08, 3,281.04 and 800.42 is: 1,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.08 : 3,281.04 = 800.42 : x
  2. Step 2: Convert to fraction form
    2,188.08/3,281.04 = 800.42/x
  3. Step 3: Cross multiply
    2,188.08x = 3,281.04 × 800.42
  4. Step 4: Simplify right side
    2,188.08x = 2,626,193.63
  5. Step 5: Solve for x
    x = 2,626,193.63/2,188.08
  6. Step 6: Final answer
    x = 1,200.23

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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.