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Finding the Fourth Proportional to 2,223.68, 3,335.68 and 836.94

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Solution

The fourth proportional to 2,223.68, 3,335.68 and 836.94 is: 1,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.68 : 3,335.68 = 836.94 : x
  2. Step 2: Convert to fraction form
    2,223.68/3,335.68 = 836.94/x
  3. Step 3: Cross multiply
    2,223.68x = 3,335.68 × 836.94
  4. Step 4: Simplify right side
    2,223.68x = 2,791,764.02
  5. Step 5: Solve for x
    x = 2,791,764.02/2,223.68
  6. Step 6: Final answer
    x = 1,255.47

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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.