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Finding the Fourth Proportional to 2,498.37, 3,744.71 and 1,109.62

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Solution

The fourth proportional to 2,498.37, 3,744.71 and 1,109.62 is: 1,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.37 : 3,744.71 = 1,109.62 : x
  2. Step 2: Convert to fraction form
    2,498.37/3,744.71 = 1,109.62/x
  3. Step 3: Cross multiply
    2,498.37x = 3,744.71 × 1,109.62
  4. Step 4: Simplify right side
    2,498.37x = 4,155,205.11
  5. Step 5: Solve for x
    x = 4,155,205.11/2,498.37
  6. Step 6: Final answer
    x = 1,663.17

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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.