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Finding the Fourth Proportional to 2,241.74, 3,362.98 and 781.32

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Solution

The fourth proportional to 2,241.74, 3,362.98 and 781.32 is: 1,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.74 : 3,362.98 = 781.32 : x
  2. Step 2: Convert to fraction form
    2,241.74/3,362.98 = 781.32/x
  3. Step 3: Cross multiply
    2,241.74x = 3,362.98 × 781.32
  4. Step 4: Simplify right side
    2,241.74x = 2,627,563.53
  5. Step 5: Solve for x
    x = 2,627,563.53/2,241.74
  6. Step 6: Final answer
    x = 1,172.11

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1.5x scale

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.