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Finding the Fourth Proportional to 1,757.86, 2,426.97 and 1,235.14

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Solution

The fourth proportional to 1,757.86, 2,426.97 and 1,235.14 is: 1,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.86 : 2,426.97 = 1,235.14 : x
  2. Step 2: Convert to fraction form
    1,757.86/2,426.97 = 1,235.14/x
  3. Step 3: Cross multiply
    1,757.86x = 2,426.97 × 1,235.14
  4. Step 4: Simplify right side
    1,757.86x = 2,997,647.73
  5. Step 5: Solve for x
    x = 2,997,647.73/1,757.86
  6. Step 6: Final answer
    x = 1,705.28

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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.