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Finding the Fourth Proportional to 1,732.98, 2,391.23 and 986.95

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Solution

The fourth proportional to 1,732.98, 2,391.23 and 986.95 is: 1,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.98 : 2,391.23 = 986.95 : x
  2. Step 2: Convert to fraction form
    1,732.98/2,391.23 = 986.95/x
  3. Step 3: Cross multiply
    1,732.98x = 2,391.23 × 986.95
  4. Step 4: Simplify right side
    1,732.98x = 2,360,026.92
  5. Step 5: Solve for x
    x = 2,360,026.92/1,732.98
  6. Step 6: Final answer
    x = 1,361.83

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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.