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Finding the Fourth Proportional to 2,195.18, 3,292.59 and 656.18

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Solution

The fourth proportional to 2,195.18, 3,292.59 and 656.18 is: 984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.18 : 3,292.59 = 656.18 : x
  2. Step 2: Convert to fraction form
    2,195.18/3,292.59 = 656.18/x
  3. Step 3: Cross multiply
    2,195.18x = 3,292.59 × 656.18
  4. Step 4: Simplify right side
    2,195.18x = 2,160,531.71
  5. Step 5: Solve for x
    x = 2,160,531.71/2,195.18
  6. Step 6: Final answer
    x = 984.22

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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.