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Finding the Fourth Proportional to 2,473.03, 3,708.46 and 741.79

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Solution

The fourth proportional to 2,473.03, 3,708.46 and 741.79 is: 1,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.03 : 3,708.46 = 741.79 : x
  2. Step 2: Convert to fraction form
    2,473.03/3,708.46 = 741.79/x
  3. Step 3: Cross multiply
    2,473.03x = 3,708.46 × 741.79
  4. Step 4: Simplify right side
    2,473.03x = 2,750,898.54
  5. Step 5: Solve for x
    x = 2,750,898.54/2,473.03
  6. Step 6: Final answer
    x = 1,112.36

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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.