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Finding the Fourth Proportional to 2,411.72, 3,617.81 and 930.49

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Solution

The fourth proportional to 2,411.72, 3,617.81 and 930.49 is: 1,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.72 : 3,617.81 = 930.49 : x
  2. Step 2: Convert to fraction form
    2,411.72/3,617.81 = 930.49/x
  3. Step 3: Cross multiply
    2,411.72x = 3,617.81 × 930.49
  4. Step 4: Simplify right side
    2,411.72x = 3,366,331.05
  5. Step 5: Solve for x
    x = 3,366,331.05/2,411.72
  6. Step 6: Final answer
    x = 1,395.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.