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Finding the Fourth Proportional to 1,864.25, 2,796.38 and 710.27

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Solution

The fourth proportional to 1,864.25, 2,796.38 and 710.27 is: 1,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.25 : 2,796.38 = 710.27 : x
  2. Step 2: Convert to fraction form
    1,864.25/2,796.38 = 710.27/x
  3. Step 3: Cross multiply
    1,864.25x = 2,796.38 × 710.27
  4. Step 4: Simplify right side
    1,864.25x = 1,986,181.27
  5. Step 5: Solve for x
    x = 1,986,181.27/1,864.25
  6. Step 6: Final answer
    x = 1,065.41

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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.