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Finding the Fourth Proportional to 2,498.69, 3,749.90 and 940.22

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Solution

The fourth proportional to 2,498.69, 3,749.90 and 940.22 is: 1,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.69 : 3,749.90 = 940.22 : x
  2. Step 2: Convert to fraction form
    2,498.69/3,749.90 = 940.22/x
  3. Step 3: Cross multiply
    2,498.69x = 3,749.90 × 940.22
  4. Step 4: Simplify right side
    2,498.69x = 3,525,730.98
  5. Step 5: Solve for x
    x = 3,525,730.98/2,498.69
  6. Step 6: Final answer
    x = 1,411.03

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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.