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Finding the Fourth Proportional to 2,735.13, 3,774.79 and 1,523.93

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Solution

The fourth proportional to 2,735.13, 3,774.79 and 1,523.93 is: 2,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.13 : 3,774.79 = 1,523.93 : x
  2. Step 2: Convert to fraction form
    2,735.13/3,774.79 = 1,523.93/x
  3. Step 3: Cross multiply
    2,735.13x = 3,774.79 × 1,523.93
  4. Step 4: Simplify right side
    2,735.13x = 5,752,515.72
  5. Step 5: Solve for x
    x = 5,752,515.72/2,735.13
  6. Step 6: Final answer
    x = 2,103.20

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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.