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Finding the Fourth Proportional to 2,844.84, 4,265.10 and 2,361

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Solution

The fourth proportional to 2,844.84, 4,265.10 and 2,361 is: 3,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.84 : 4,265.10 = 2,361 : x
  2. Step 2: Convert to fraction form
    2,844.84/4,265.10 = 2,361/x
  3. Step 3: Cross multiply
    2,844.84x = 4,265.10 × 2,361
  4. Step 4: Simplify right side
    2,844.84x = 10,069,901.10
  5. Step 5: Solve for x
    x = 10,069,901.10/2,844.84
  6. Step 6: Final answer
    x = 3,539.71

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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.