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Finding the Fourth Proportional to 2,207.81, 3,046.52 and 1,311.23

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Solution

The fourth proportional to 2,207.81, 3,046.52 and 1,311.23 is: 1,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.81 : 3,046.52 = 1,311.23 : x
  2. Step 2: Convert to fraction form
    2,207.81/3,046.52 = 1,311.23/x
  3. Step 3: Cross multiply
    2,207.81x = 3,046.52 × 1,311.23
  4. Step 4: Simplify right side
    2,207.81x = 3,994,666.63
  5. Step 5: Solve for x
    x = 3,994,666.63/2,207.81
  6. Step 6: Final answer
    x = 1,809.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.