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Finding the Fourth Proportional to 2,473.18, 3,703.83 and 1,496.86

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Solution

The fourth proportional to 2,473.18, 3,703.83 and 1,496.86 is: 2,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.18 : 3,703.83 = 1,496.86 : x
  2. Step 2: Convert to fraction form
    2,473.18/3,703.83 = 1,496.86/x
  3. Step 3: Cross multiply
    2,473.18x = 3,703.83 × 1,496.86
  4. Step 4: Simplify right side
    2,473.18x = 5,544,114.97
  5. Step 5: Solve for x
    x = 5,544,114.97/2,473.18
  6. Step 6: Final answer
    x = 2,241.69

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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.