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Finding the Fourth Proportional to 1,733.46, 2,391.90 and 987.44

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Solution

The fourth proportional to 1,733.46, 2,391.90 and 987.44 is: 1,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.46 : 2,391.90 = 987.44 : x
  2. Step 2: Convert to fraction form
    1,733.46/2,391.90 = 987.44/x
  3. Step 3: Cross multiply
    1,733.46x = 2,391.90 × 987.44
  4. Step 4: Simplify right side
    1,733.46x = 2,361,857.74
  5. Step 5: Solve for x
    x = 2,361,857.74/1,733.46
  6. Step 6: Final answer
    x = 1,362.51

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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.