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Finding the Fourth Proportional to 2,502.12, 3,743.28 and 2,091.90

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Solution

The fourth proportional to 2,502.12, 3,743.28 and 2,091.90 is: 3,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.12 : 3,743.28 = 2,091.90 : x
  2. Step 2: Convert to fraction form
    2,502.12/3,743.28 = 2,091.90/x
  3. Step 3: Cross multiply
    2,502.12x = 3,743.28 × 2,091.90
  4. Step 4: Simplify right side
    2,502.12x = 7,830,567.43
  5. Step 5: Solve for x
    x = 7,830,567.43/2,502.12
  6. Step 6: Final answer
    x = 3,129.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.