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Finding the Fourth Proportional to 1,732.59, 2,391.06 and 986.69

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Solution

The fourth proportional to 1,732.59, 2,391.06 and 986.69 is: 1,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.59 : 2,391.06 = 986.69 : x
  2. Step 2: Convert to fraction form
    1,732.59/2,391.06 = 986.69/x
  3. Step 3: Cross multiply
    1,732.59x = 2,391.06 × 986.69
  4. Step 4: Simplify right side
    1,732.59x = 2,359,223.04
  5. Step 5: Solve for x
    x = 2,359,223.04/1,732.59
  6. Step 6: Final answer
    x = 1,361.67

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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.