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Finding the Fourth Proportional to 2,356.11, 3,535.54 and 876.38

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Solution

The fourth proportional to 2,356.11, 3,535.54 and 876.38 is: 1,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.11 : 3,535.54 = 876.38 : x
  2. Step 2: Convert to fraction form
    2,356.11/3,535.54 = 876.38/x
  3. Step 3: Cross multiply
    2,356.11x = 3,535.54 × 876.38
  4. Step 4: Simplify right side
    2,356.11x = 3,098,456.68
  5. Step 5: Solve for x
    x = 3,098,456.68/2,356.11
  6. Step 6: Final answer
    x = 1,315.07

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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.