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Finding the Fourth Proportional to 2,434.36, 3,650.58 and 895.48

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Solution

The fourth proportional to 2,434.36, 3,650.58 and 895.48 is: 1,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.36 : 3,650.58 = 895.48 : x
  2. Step 2: Convert to fraction form
    2,434.36/3,650.58 = 895.48/x
  3. Step 3: Cross multiply
    2,434.36x = 3,650.58 × 895.48
  4. Step 4: Simplify right side
    2,434.36x = 3,269,021.38
  5. Step 5: Solve for x
    x = 3,269,021.38/2,434.36
  6. Step 6: Final answer
    x = 1,342.87

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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.