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Finding the Fourth Proportional to 4,641.81, 6,963 and 1,355.13

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Solution

The fourth proportional to 4,641.81, 6,963 and 1,355.13 is: 2,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.81 : 6,963 = 1,355.13 : x
  2. Step 2: Convert to fraction form
    4,641.81/6,963 = 1,355.13/x
  3. Step 3: Cross multiply
    4,641.81x = 6,963 × 1,355.13
  4. Step 4: Simplify right side
    4,641.81x = 9,435,770.19
  5. Step 5: Solve for x
    x = 9,435,770.19/4,641.81
  6. Step 6: Final answer
    x = 2,032.78

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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.