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Finding the Fourth Proportional to 2,318.72, 3,473.44 and 1,393.77

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Solution

The fourth proportional to 2,318.72, 3,473.44 and 1,393.77 is: 2,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.72 : 3,473.44 = 1,393.77 : x
  2. Step 2: Convert to fraction form
    2,318.72/3,473.44 = 1,393.77/x
  3. Step 3: Cross multiply
    2,318.72x = 3,473.44 × 1,393.77
  4. Step 4: Simplify right side
    2,318.72x = 4,841,169.50
  5. Step 5: Solve for x
    x = 4,841,169.50/2,318.72
  6. Step 6: Final answer
    x = 2,087.87

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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.