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Finding the Fourth Proportional to 3,281.15, 4,921.27 and 941.36

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Solution

The fourth proportional to 3,281.15, 4,921.27 and 941.36 is: 1,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.15 : 4,921.27 = 941.36 : x
  2. Step 2: Convert to fraction form
    3,281.15/4,921.27 = 941.36/x
  3. Step 3: Cross multiply
    3,281.15x = 4,921.27 × 941.36
  4. Step 4: Simplify right side
    3,281.15x = 4,632,657.41
  5. Step 5: Solve for x
    x = 4,632,657.41/3,281.15
  6. Step 6: Final answer
    x = 1,411.90

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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.