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Finding the Fourth Proportional to 2,749.96, 3,798.03 and 1,864.23

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Solution

The fourth proportional to 2,749.96, 3,798.03 and 1,864.23 is: 2,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.96 : 3,798.03 = 1,864.23 : x
  2. Step 2: Convert to fraction form
    2,749.96/3,798.03 = 1,864.23/x
  3. Step 3: Cross multiply
    2,749.96x = 3,798.03 × 1,864.23
  4. Step 4: Simplify right side
    2,749.96x = 7,080,401.47
  5. Step 5: Solve for x
    x = 7,080,401.47/2,749.96
  6. Step 6: Final answer
    x = 2,574.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.