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Finding the Fourth Proportional to 2,688.23, 3,709.76 and 1,493.23

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Solution

The fourth proportional to 2,688.23, 3,709.76 and 1,493.23 is: 2,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.23 : 3,709.76 = 1,493.23 : x
  2. Step 2: Convert to fraction form
    2,688.23/3,709.76 = 1,493.23/x
  3. Step 3: Cross multiply
    2,688.23x = 3,709.76 × 1,493.23
  4. Step 4: Simplify right side
    2,688.23x = 5,539,519.38
  5. Step 5: Solve for x
    x = 5,539,519.38/2,688.23
  6. Step 6: Final answer
    x = 2,060.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.