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Finding the Fourth Proportional to 2,820.95, 3,892.76 and 1,561.94

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Solution

The fourth proportional to 2,820.95, 3,892.76 and 1,561.94 is: 2,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.95 : 3,892.76 = 1,561.94 : x
  2. Step 2: Convert to fraction form
    2,820.95/3,892.76 = 1,561.94/x
  3. Step 3: Cross multiply
    2,820.95x = 3,892.76 × 1,561.94
  4. Step 4: Simplify right side
    2,820.95x = 6,080,257.55
  5. Step 5: Solve for x
    x = 6,080,257.55/2,820.95
  6. Step 6: Final answer
    x = 2,155.39

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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.