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Finding the Fourth Proportional to 2,473.36, 3,709.02 and 1,011.52

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Solution

The fourth proportional to 2,473.36, 3,709.02 and 1,011.52 is: 1,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.36 : 3,709.02 = 1,011.52 : x
  2. Step 2: Convert to fraction form
    2,473.36/3,709.02 = 1,011.52/x
  3. Step 3: Cross multiply
    2,473.36x = 3,709.02 × 1,011.52
  4. Step 4: Simplify right side
    2,473.36x = 3,751,747.91
  5. Step 5: Solve for x
    x = 3,751,747.91/2,473.36
  6. Step 6: Final answer
    x = 1,516.86

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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.