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Finding the Fourth Proportional to 2,552.37, 3,826.77 and 886.08

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Solution

The fourth proportional to 2,552.37, 3,826.77 and 886.08 is: 1,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.37 : 3,826.77 = 886.08 : x
  2. Step 2: Convert to fraction form
    2,552.37/3,826.77 = 886.08/x
  3. Step 3: Cross multiply
    2,552.37x = 3,826.77 × 886.08
  4. Step 4: Simplify right side
    2,552.37x = 3,390,824.36
  5. Step 5: Solve for x
    x = 3,390,824.36/2,552.37
  6. Step 6: Final answer
    x = 1,328.50

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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.