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Finding the Fourth Proportional to 2,026.86, 3,040.08 and 795.25

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Solution

The fourth proportional to 2,026.86, 3,040.08 and 795.25 is: 1,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.86 : 3,040.08 = 795.25 : x
  2. Step 2: Convert to fraction form
    2,026.86/3,040.08 = 795.25/x
  3. Step 3: Cross multiply
    2,026.86x = 3,040.08 × 795.25
  4. Step 4: Simplify right side
    2,026.86x = 2,417,623.62
  5. Step 5: Solve for x
    x = 2,417,623.62/2,026.86
  6. Step 6: Final answer
    x = 1,192.79

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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.