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Finding the Fourth Proportional to 1,617.87, 2,233.73 and 1,244.16

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Solution

The fourth proportional to 1,617.87, 2,233.73 and 1,244.16 is: 1,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.87 : 2,233.73 = 1,244.16 : x
  2. Step 2: Convert to fraction form
    1,617.87/2,233.73 = 1,244.16/x
  3. Step 3: Cross multiply
    1,617.87x = 2,233.73 × 1,244.16
  4. Step 4: Simplify right side
    1,617.87x = 2,779,113.63
  5. Step 5: Solve for x
    x = 2,779,113.63/1,617.87
  6. Step 6: Final answer
    x = 1,717.76

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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.