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Finding the Fourth Proportional to 2,473.05, 3,708.30 and 741.45

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Solution

The fourth proportional to 2,473.05, 3,708.30 and 741.45 is: 1,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.05 : 3,708.30 = 741.45 : x
  2. Step 2: Convert to fraction form
    2,473.05/3,708.30 = 741.45/x
  3. Step 3: Cross multiply
    2,473.05x = 3,708.30 × 741.45
  4. Step 4: Simplify right side
    2,473.05x = 2,749,519.04
  5. Step 5: Solve for x
    x = 2,749,519.04/2,473.05
  6. Step 6: Final answer
    x = 1,111.79

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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.