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Finding the Fourth Proportional to 1,643.44, 2,459.76 and 911.20

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Solution

The fourth proportional to 1,643.44, 2,459.76 and 911.20 is: 1,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.44 : 2,459.76 = 911.20 : x
  2. Step 2: Convert to fraction form
    1,643.44/2,459.76 = 911.20/x
  3. Step 3: Cross multiply
    1,643.44x = 2,459.76 × 911.20
  4. Step 4: Simplify right side
    1,643.44x = 2,241,333.31
  5. Step 5: Solve for x
    x = 2,241,333.31/1,643.44
  6. Step 6: Final answer
    x = 1,363.81

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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.