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Finding the Fourth Proportional to 2,188.12, 3,281.94 and 649

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Solution

The fourth proportional to 2,188.12, 3,281.94 and 649 is: 973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.12 : 3,281.94 = 649 : x
  2. Step 2: Convert to fraction form
    2,188.12/3,281.94 = 649/x
  3. Step 3: Cross multiply
    2,188.12x = 3,281.94 × 649
  4. Step 4: Simplify right side
    2,188.12x = 2,129,979.06
  5. Step 5: Solve for x
    x = 2,129,979.06/2,188.12
  6. Step 6: Final answer
    x = 973.43

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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.