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Finding the Fourth Proportional to 2,552.84, 3,827.54 and 886.54

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Solution

The fourth proportional to 2,552.84, 3,827.54 and 886.54 is: 1,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.84 : 3,827.54 = 886.54 : x
  2. Step 2: Convert to fraction form
    2,552.84/3,827.54 = 886.54/x
  3. Step 3: Cross multiply
    2,552.84x = 3,827.54 × 886.54
  4. Step 4: Simplify right side
    2,552.84x = 3,393,243.74
  5. Step 5: Solve for x
    x = 3,393,243.74/2,552.84
  6. Step 6: Final answer
    x = 1,329.20

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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.