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Finding the Fourth Proportional to 1,576.31, 2,174.58 and 985.82

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Solution

The fourth proportional to 1,576.31, 2,174.58 and 985.82 is: 1,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.31 : 2,174.58 = 985.82 : x
  2. Step 2: Convert to fraction form
    1,576.31/2,174.58 = 985.82/x
  3. Step 3: Cross multiply
    1,576.31x = 2,174.58 × 985.82
  4. Step 4: Simplify right side
    1,576.31x = 2,143,744.46
  5. Step 5: Solve for x
    x = 2,143,744.46/1,576.31
  6. Step 6: Final answer
    x = 1,359.98

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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.