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Finding the Fourth Proportional to 2,164.48, 3,246.80 and 604.42

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Solution

The fourth proportional to 2,164.48, 3,246.80 and 604.42 is: 906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.48 : 3,246.80 = 604.42 : x
  2. Step 2: Convert to fraction form
    2,164.48/3,246.80 = 604.42/x
  3. Step 3: Cross multiply
    2,164.48x = 3,246.80 × 604.42
  4. Step 4: Simplify right side
    2,164.48x = 1,962,419.72
  5. Step 5: Solve for x
    x = 1,962,419.72/2,164.48
  6. Step 6: Final answer
    x = 906.65

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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.