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Finding the Fourth Proportional to 1,732.58, 2,390.69 and 986.57

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Solution

The fourth proportional to 1,732.58, 2,390.69 and 986.57 is: 1,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.58 : 2,390.69 = 986.57 : x
  2. Step 2: Convert to fraction form
    1,732.58/2,390.69 = 986.57/x
  3. Step 3: Cross multiply
    1,732.58x = 2,390.69 × 986.57
  4. Step 4: Simplify right side
    1,732.58x = 2,358,573.55
  5. Step 5: Solve for x
    x = 2,358,573.55/1,732.58
  6. Step 6: Final answer
    x = 1,361.31

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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.