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Finding the Fourth Proportional to 1,649.13, 2,474.11 and 1,215.54

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Solution

The fourth proportional to 1,649.13, 2,474.11 and 1,215.54 is: 1,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.13 : 2,474.11 = 1,215.54 : x
  2. Step 2: Convert to fraction form
    1,649.13/2,474.11 = 1,215.54/x
  3. Step 3: Cross multiply
    1,649.13x = 2,474.11 × 1,215.54
  4. Step 4: Simplify right side
    1,649.13x = 3,007,381.19
  5. Step 5: Solve for x
    x = 3,007,381.19/1,649.13
  6. Step 6: Final answer
    x = 1,823.62

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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.