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Finding the Fourth Proportional to 2,068.05, 2,854.37 and 1,184.34

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Solution

The fourth proportional to 2,068.05, 2,854.37 and 1,184.34 is: 1,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.05 : 2,854.37 = 1,184.34 : x
  2. Step 2: Convert to fraction form
    2,068.05/2,854.37 = 1,184.34/x
  3. Step 3: Cross multiply
    2,068.05x = 2,854.37 × 1,184.34
  4. Step 4: Simplify right side
    2,068.05x = 3,380,544.57
  5. Step 5: Solve for x
    x = 3,380,544.57/2,068.05
  6. Step 6: Final answer
    x = 1,634.65

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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.