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Finding the Fourth Proportional to 2,356.78, 3,535.43 and 713.09

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Solution

The fourth proportional to 2,356.78, 3,535.43 and 713.09 is: 1,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.78 : 3,535.43 = 713.09 : x
  2. Step 2: Convert to fraction form
    2,356.78/3,535.43 = 713.09/x
  3. Step 3: Cross multiply
    2,356.78x = 3,535.43 × 713.09
  4. Step 4: Simplify right side
    2,356.78x = 2,521,079.78
  5. Step 5: Solve for x
    x = 2,521,079.78/2,356.78
  6. Step 6: Final answer
    x = 1,069.71

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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.