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Finding the Fourth Proportional to 2,499.45, 3,743.51 and 2,004.14

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Solution

The fourth proportional to 2,499.45, 3,743.51 and 2,004.14 is: 3,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.45 : 3,743.51 = 2,004.14 : x
  2. Step 2: Convert to fraction form
    2,499.45/3,743.51 = 2,004.14/x
  3. Step 3: Cross multiply
    2,499.45x = 3,743.51 × 2,004.14
  4. Step 4: Simplify right side
    2,499.45x = 7,502,489.39
  5. Step 5: Solve for x
    x = 7,502,489.39/2,499.45
  6. Step 6: Final answer
    x = 3,001.66

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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.