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Finding the Fourth Proportional to 2,552.30, 3,827.46 and 885.95

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Solution

The fourth proportional to 2,552.30, 3,827.46 and 885.95 is: 1,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.30 : 3,827.46 = 885.95 : x
  2. Step 2: Convert to fraction form
    2,552.30/3,827.46 = 885.95/x
  3. Step 3: Cross multiply
    2,552.30x = 3,827.46 × 885.95
  4. Step 4: Simplify right side
    2,552.30x = 3,390,938.19
  5. Step 5: Solve for x
    x = 3,390,938.19/2,552.30
  6. Step 6: Final answer
    x = 1,328.58

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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.