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Finding the Fourth Proportional to 2,473.86, 3,709.16 and 1,011.54

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Solution

The fourth proportional to 2,473.86, 3,709.16 and 1,011.54 is: 1,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.86 : 3,709.16 = 1,011.54 : x
  2. Step 2: Convert to fraction form
    2,473.86/3,709.16 = 1,011.54/x
  3. Step 3: Cross multiply
    2,473.86x = 3,709.16 × 1,011.54
  4. Step 4: Simplify right side
    2,473.86x = 3,751,963.71
  5. Step 5: Solve for x
    x = 3,751,963.71/2,473.86
  6. Step 6: Final answer
    x = 1,516.64

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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.