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Finding the Fourth Proportional to 2,195.44, 3,292.60 and 656.08

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Solution

The fourth proportional to 2,195.44, 3,292.60 and 656.08 is: 983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.44 : 3,292.60 = 656.08 : x
  2. Step 2: Convert to fraction form
    2,195.44/3,292.60 = 656.08/x
  3. Step 3: Cross multiply
    2,195.44x = 3,292.60 × 656.08
  4. Step 4: Simplify right side
    2,195.44x = 2,160,209.01
  5. Step 5: Solve for x
    x = 2,160,209.01/2,195.44
  6. Step 6: Final answer
    x = 983.95

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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.