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Finding the Fourth Proportional to 2,230.56, 3,078.12 and 1,235.88

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Solution

The fourth proportional to 2,230.56, 3,078.12 and 1,235.88 is: 1,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.56 : 3,078.12 = 1,235.88 : x
  2. Step 2: Convert to fraction form
    2,230.56/3,078.12 = 1,235.88/x
  3. Step 3: Cross multiply
    2,230.56x = 3,078.12 × 1,235.88
  4. Step 4: Simplify right side
    2,230.56x = 3,804,186.95
  5. Step 5: Solve for x
    x = 3,804,186.95/2,230.56
  6. Step 6: Final answer
    x = 1,705.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.