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Finding the Fourth Proportional to 2,664.49, 3,997.28 and 909.35

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Solution

The fourth proportional to 2,664.49, 3,997.28 and 909.35 is: 1,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.49 : 3,997.28 = 909.35 : x
  2. Step 2: Convert to fraction form
    2,664.49/3,997.28 = 909.35/x
  3. Step 3: Cross multiply
    2,664.49x = 3,997.28 × 909.35
  4. Step 4: Simplify right side
    2,664.49x = 3,634,926.57
  5. Step 5: Solve for x
    x = 3,634,926.57/2,664.49
  6. Step 6: Final answer
    x = 1,364.21

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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.