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Finding the Fourth Proportional to 2,827.84, 4,241.76 and 880.24

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Solution

The fourth proportional to 2,827.84, 4,241.76 and 880.24 is: 1,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.84 : 4,241.76 = 880.24 : x
  2. Step 2: Convert to fraction form
    2,827.84/4,241.76 = 880.24/x
  3. Step 3: Cross multiply
    2,827.84x = 4,241.76 × 880.24
  4. Step 4: Simplify right side
    2,827.84x = 3,733,766.82
  5. Step 5: Solve for x
    x = 3,733,766.82/2,827.84
  6. Step 6: Final answer
    x = 1,320.36

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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.