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Finding the Fourth Proportional to 1,747.80, 2,410.31 and 1,394.87

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Solution

The fourth proportional to 1,747.80, 2,410.31 and 1,394.87 is: 1,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.80 : 2,410.31 = 1,394.87 : x
  2. Step 2: Convert to fraction form
    1,747.80/2,410.31 = 1,394.87/x
  3. Step 3: Cross multiply
    1,747.80x = 2,410.31 × 1,394.87
  4. Step 4: Simplify right side
    1,747.80x = 3,362,050.08
  5. Step 5: Solve for x
    x = 3,362,050.08/1,747.80
  6. Step 6: Final answer
    x = 1,923.59

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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.