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Finding the Fourth Proportional to 1,233.62, 1,844.80 and 921.48

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Solution

The fourth proportional to 1,233.62, 1,844.80 and 921.48 is: 1,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.62 : 1,844.80 = 921.48 : x
  2. Step 2: Convert to fraction form
    1,233.62/1,844.80 = 921.48/x
  3. Step 3: Cross multiply
    1,233.62x = 1,844.80 × 921.48
  4. Step 4: Simplify right side
    1,233.62x = 1,699,946.30
  5. Step 5: Solve for x
    x = 1,699,946.30/1,233.62
  6. Step 6: Final answer
    x = 1,378.01

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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.