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Finding the Fourth Proportional to 2,456.62, 3,684.81 and 917.50

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Solution

The fourth proportional to 2,456.62, 3,684.81 and 917.50 is: 1,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.62 : 3,684.81 = 917.50 : x
  2. Step 2: Convert to fraction form
    2,456.62/3,684.81 = 917.50/x
  3. Step 3: Cross multiply
    2,456.62x = 3,684.81 × 917.50
  4. Step 4: Simplify right side
    2,456.62x = 3,380,813.18
  5. Step 5: Solve for x
    x = 3,380,813.18/2,456.62
  6. Step 6: Final answer
    x = 1,376.21

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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.