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Finding the Fourth Proportional to 1,856.11, 2,784.22 and 815.57

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Solution

The fourth proportional to 1,856.11, 2,784.22 and 815.57 is: 1,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.11 : 2,784.22 = 815.57 : x
  2. Step 2: Convert to fraction form
    1,856.11/2,784.22 = 815.57/x
  3. Step 3: Cross multiply
    1,856.11x = 2,784.22 × 815.57
  4. Step 4: Simplify right side
    1,856.11x = 2,270,731.23
  5. Step 5: Solve for x
    x = 2,270,731.23/1,856.11
  6. Step 6: Final answer
    x = 1,223.38

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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.