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Finding the Fourth Proportional to 2,703.72, 4,048.68 and 1,660.62

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Solution

The fourth proportional to 2,703.72, 4,048.68 and 1,660.62 is: 2,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.72 : 4,048.68 = 1,660.62 : x
  2. Step 2: Convert to fraction form
    2,703.72/4,048.68 = 1,660.62/x
  3. Step 3: Cross multiply
    2,703.72x = 4,048.68 × 1,660.62
  4. Step 4: Simplify right side
    2,703.72x = 6,723,318.98
  5. Step 5: Solve for x
    x = 6,723,318.98/2,703.72
  6. Step 6: Final answer
    x = 2,486.69

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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.