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Finding the Fourth Proportional to 2,225.71, 3,337.76 and 665.42

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Solution

The fourth proportional to 2,225.71, 3,337.76 and 665.42 is: 997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.71 : 3,337.76 = 665.42 : x
  2. Step 2: Convert to fraction form
    2,225.71/3,337.76 = 665.42/x
  3. Step 3: Cross multiply
    2,225.71x = 3,337.76 × 665.42
  4. Step 4: Simplify right side
    2,225.71x = 2,221,012.26
  5. Step 5: Solve for x
    x = 2,221,012.26/2,225.71
  6. Step 6: Final answer
    x = 997.89

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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.