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Finding the Fourth Proportional to 1,578.70, 2,178.93 and 1,447.48

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Solution

The fourth proportional to 1,578.70, 2,178.93 and 1,447.48 is: 1,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.70 : 2,178.93 = 1,447.48 : x
  2. Step 2: Convert to fraction form
    1,578.70/2,178.93 = 1,447.48/x
  3. Step 3: Cross multiply
    1,578.70x = 2,178.93 × 1,447.48
  4. Step 4: Simplify right side
    1,578.70x = 3,153,957.60
  5. Step 5: Solve for x
    x = 3,153,957.60/1,578.70
  6. Step 6: Final answer
    x = 1,997.82

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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.