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Finding the Fourth Proportional to 1,617.94, 2,235.51 and 1,576.46

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Solution

The fourth proportional to 1,617.94, 2,235.51 and 1,576.46 is: 2,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.94 : 2,235.51 = 1,576.46 : x
  2. Step 2: Convert to fraction form
    1,617.94/2,235.51 = 1,576.46/x
  3. Step 3: Cross multiply
    1,617.94x = 2,235.51 × 1,576.46
  4. Step 4: Simplify right side
    1,617.94x = 3,524,192.09
  5. Step 5: Solve for x
    x = 3,524,192.09/1,617.94
  6. Step 6: Final answer
    x = 2,178.20

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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.