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Finding the Fourth Proportional to 1,468.85, 2,027.35 and 943.97

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Solution

The fourth proportional to 1,468.85, 2,027.35 and 943.97 is: 1,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.85 : 2,027.35 = 943.97 : x
  2. Step 2: Convert to fraction form
    1,468.85/2,027.35 = 943.97/x
  3. Step 3: Cross multiply
    1,468.85x = 2,027.35 × 943.97
  4. Step 4: Simplify right side
    1,468.85x = 1,913,762.68
  5. Step 5: Solve for x
    x = 1,913,762.68/1,468.85
  6. Step 6: Final answer
    x = 1,302.90

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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.