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Finding the Fourth Proportional to 2,197.79, 3,296.58 and 637.74

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Solution

The fourth proportional to 2,197.79, 3,296.58 and 637.74 is: 956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.79 : 3,296.58 = 637.74 : x
  2. Step 2: Convert to fraction form
    2,197.79/3,296.58 = 637.74/x
  3. Step 3: Cross multiply
    2,197.79x = 3,296.58 × 637.74
  4. Step 4: Simplify right side
    2,197.79x = 2,102,360.93
  5. Step 5: Solve for x
    x = 2,102,360.93/2,197.79
  6. Step 6: Final answer
    x = 956.58

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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.