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Finding the Fourth Proportional to 1,763.28, 2,645.64 and 942.48

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Solution

The fourth proportional to 1,763.28, 2,645.64 and 942.48 is: 1,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.28 : 2,645.64 = 942.48 : x
  2. Step 2: Convert to fraction form
    1,763.28/2,645.64 = 942.48/x
  3. Step 3: Cross multiply
    1,763.28x = 2,645.64 × 942.48
  4. Step 4: Simplify right side
    1,763.28x = 2,493,462.79
  5. Step 5: Solve for x
    x = 2,493,462.79/1,763.28
  6. Step 6: Final answer
    x = 1,414.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.