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Finding the Fourth Proportional to 1,874.15, 2,811.21 and 779.28

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Solution

The fourth proportional to 1,874.15, 2,811.21 and 779.28 is: 1,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.15 : 2,811.21 = 779.28 : x
  2. Step 2: Convert to fraction form
    1,874.15/2,811.21 = 779.28/x
  3. Step 3: Cross multiply
    1,874.15x = 2,811.21 × 779.28
  4. Step 4: Simplify right side
    1,874.15x = 2,190,719.73
  5. Step 5: Solve for x
    x = 2,190,719.73/1,874.15
  6. Step 6: Final answer
    x = 1,168.92

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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.