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Finding the Fourth Proportional to 2,486.23, 3,729.06 and 842.78

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Solution

The fourth proportional to 2,486.23, 3,729.06 and 842.78 is: 1,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.23 : 3,729.06 = 842.78 : x
  2. Step 2: Convert to fraction form
    2,486.23/3,729.06 = 842.78/x
  3. Step 3: Cross multiply
    2,486.23x = 3,729.06 × 842.78
  4. Step 4: Simplify right side
    2,486.23x = 3,142,786.51
  5. Step 5: Solve for x
    x = 3,142,786.51/2,486.23
  6. Step 6: Final answer
    x = 1,264.08

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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.