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Finding the Fourth Proportional to 2,470.73, 3,703.81 and 909.87

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Solution

The fourth proportional to 2,470.73, 3,703.81 and 909.87 is: 1,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.73 : 3,703.81 = 909.87 : x
  2. Step 2: Convert to fraction form
    2,470.73/3,703.81 = 909.87/x
  3. Step 3: Cross multiply
    2,470.73x = 3,703.81 × 909.87
  4. Step 4: Simplify right side
    2,470.73x = 3,369,991.98
  5. Step 5: Solve for x
    x = 3,369,991.98/2,470.73
  6. Step 6: Final answer
    x = 1,363.97

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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.