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Finding the Fourth Proportional to 2,354.73, 3,528.33 and 1,913.84

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Solution

The fourth proportional to 2,354.73, 3,528.33 and 1,913.84 is: 2,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.73 : 3,528.33 = 1,913.84 : x
  2. Step 2: Convert to fraction form
    2,354.73/3,528.33 = 1,913.84/x
  3. Step 3: Cross multiply
    2,354.73x = 3,528.33 × 1,913.84
  4. Step 4: Simplify right side
    2,354.73x = 6,752,659.09
  5. Step 5: Solve for x
    x = 6,752,659.09/2,354.73
  6. Step 6: Final answer
    x = 2,867.70

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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.