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Finding the Fourth Proportional to 1,824.10, 2,734.22 and 783.86

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Solution

The fourth proportional to 1,824.10, 2,734.22 and 783.86 is: 1,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.10 : 2,734.22 = 783.86 : x
  2. Step 2: Convert to fraction form
    1,824.10/2,734.22 = 783.86/x
  3. Step 3: Cross multiply
    1,824.10x = 2,734.22 × 783.86
  4. Step 4: Simplify right side
    1,824.10x = 2,143,233.98
  5. Step 5: Solve for x
    x = 2,143,233.98/1,824.10
  6. Step 6: Final answer
    x = 1,174.96

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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.