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Finding the Fourth Proportional to 1,770.96, 2,443.80 and 1,025.14

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Solution

The fourth proportional to 1,770.96, 2,443.80 and 1,025.14 is: 1,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.96 : 2,443.80 = 1,025.14 : x
  2. Step 2: Convert to fraction form
    1,770.96/2,443.80 = 1,025.14/x
  3. Step 3: Cross multiply
    1,770.96x = 2,443.80 × 1,025.14
  4. Step 4: Simplify right side
    1,770.96x = 2,505,237.13
  5. Step 5: Solve for x
    x = 2,505,237.13/1,770.96
  6. Step 6: Final answer
    x = 1,414.62

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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.