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Finding the Fourth Proportional to 1,577.31, 2,174.75 and 986.82

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Solution

The fourth proportional to 1,577.31, 2,174.75 and 986.82 is: 1,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.31 : 2,174.75 = 986.82 : x
  2. Step 2: Convert to fraction form
    1,577.31/2,174.75 = 986.82/x
  3. Step 3: Cross multiply
    1,577.31x = 2,174.75 × 986.82
  4. Step 4: Simplify right side
    1,577.31x = 2,146,086.80
  5. Step 5: Solve for x
    x = 2,146,086.80/1,577.31
  6. Step 6: Final answer
    x = 1,360.60

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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.