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Finding the Fourth Proportional to 2,726.22, 4,089.48 and 778.28

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Solution

The fourth proportional to 2,726.22, 4,089.48 and 778.28 is: 1,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.22 : 4,089.48 = 778.28 : x
  2. Step 2: Convert to fraction form
    2,726.22/4,089.48 = 778.28/x
  3. Step 3: Cross multiply
    2,726.22x = 4,089.48 × 778.28
  4. Step 4: Simplify right side
    2,726.22x = 3,182,740.05
  5. Step 5: Solve for x
    x = 3,182,740.05/2,726.22
  6. Step 6: Final answer
    x = 1,167.46

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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.