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Finding the Fourth Proportional to 2,820.45, 3,892.07 and 1,561.44

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Solution

The fourth proportional to 2,820.45, 3,892.07 and 1,561.44 is: 2,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.45 : 3,892.07 = 1,561.44 : x
  2. Step 2: Convert to fraction form
    2,820.45/3,892.07 = 1,561.44/x
  3. Step 3: Cross multiply
    2,820.45x = 3,892.07 × 1,561.44
  4. Step 4: Simplify right side
    2,820.45x = 6,077,233.78
  5. Step 5: Solve for x
    x = 6,077,233.78/2,820.45
  6. Step 6: Final answer
    x = 2,154.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.