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Finding the Fourth Proportional to 1,617.81, 2,232.56 and 1,059.21

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Solution

The fourth proportional to 1,617.81, 2,232.56 and 1,059.21 is: 1,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.81 : 2,232.56 = 1,059.21 : x
  2. Step 2: Convert to fraction form
    1,617.81/2,232.56 = 1,059.21/x
  3. Step 3: Cross multiply
    1,617.81x = 2,232.56 × 1,059.21
  4. Step 4: Simplify right side
    1,617.81x = 2,364,744.58
  5. Step 5: Solve for x
    x = 2,364,744.58/1,617.81
  6. Step 6: Final answer
    x = 1,461.69

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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.