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Finding the Fourth Proportional to 2,356.27, 3,535.34 and 895.81

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Solution

The fourth proportional to 2,356.27, 3,535.34 and 895.81 is: 1,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.27 : 3,535.34 = 895.81 : x
  2. Step 2: Convert to fraction form
    2,356.27/3,535.34 = 895.81/x
  3. Step 3: Cross multiply
    2,356.27x = 3,535.34 × 895.81
  4. Step 4: Simplify right side
    2,356.27x = 3,166,988.45
  5. Step 5: Solve for x
    x = 3,166,988.45/2,356.27
  6. Step 6: Final answer
    x = 1,344.07

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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.