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Finding the Fourth Proportional to 2,233.80, 3,350.70 and 1,409.40

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Solution

The fourth proportional to 2,233.80, 3,350.70 and 1,409.40 is: 2,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.80 : 3,350.70 = 1,409.40 : x
  2. Step 2: Convert to fraction form
    2,233.80/3,350.70 = 1,409.40/x
  3. Step 3: Cross multiply
    2,233.80x = 3,350.70 × 1,409.40
  4. Step 4: Simplify right side
    2,233.80x = 4,722,476.58
  5. Step 5: Solve for x
    x = 4,722,476.58/2,233.80
  6. Step 6: Final answer
    x = 2,114.10

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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.