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Finding the Fourth Proportional to 1,874.11, 2,811.17 and 575.57

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Solution

The fourth proportional to 1,874.11, 2,811.17 and 575.57 is: 863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.11 : 2,811.17 = 575.57 : x
  2. Step 2: Convert to fraction form
    1,874.11/2,811.17 = 575.57/x
  3. Step 3: Cross multiply
    1,874.11x = 2,811.17 × 575.57
  4. Step 4: Simplify right side
    1,874.11x = 1,618,025.12
  5. Step 5: Solve for x
    x = 1,618,025.12/1,874.11
  6. Step 6: Final answer
    x = 863.36

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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.