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Finding the Fourth Proportional to 1,466.50, 2,023.14 and 942.43

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Solution

The fourth proportional to 1,466.50, 2,023.14 and 942.43 is: 1,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.50 : 2,023.14 = 942.43 : x
  2. Step 2: Convert to fraction form
    1,466.50/2,023.14 = 942.43/x
  3. Step 3: Cross multiply
    1,466.50x = 2,023.14 × 942.43
  4. Step 4: Simplify right side
    1,466.50x = 1,906,667.83
  5. Step 5: Solve for x
    x = 1,906,667.83/1,466.50
  6. Step 6: Final answer
    x = 1,300.15

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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.