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Finding the Fourth Proportional to 2,709.93, 3,732.71 and 2,528.49

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Solution

The fourth proportional to 2,709.93, 3,732.71 and 2,528.49 is: 3,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.93 : 3,732.71 = 2,528.49 : x
  2. Step 2: Convert to fraction form
    2,709.93/3,732.71 = 2,528.49/x
  3. Step 3: Cross multiply
    2,709.93x = 3,732.71 × 2,528.49
  4. Step 4: Simplify right side
    2,709.93x = 9,438,107.27
  5. Step 5: Solve for x
    x = 9,438,107.27/2,709.93
  6. Step 6: Final answer
    x = 3,482.79

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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.