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Finding the Fourth Proportional to 2,663.94, 3,673.68 and 1,766.72

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Solution

The fourth proportional to 2,663.94, 3,673.68 and 1,766.72 is: 2,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.94 : 3,673.68 = 1,766.72 : x
  2. Step 2: Convert to fraction form
    2,663.94/3,673.68 = 1,766.72/x
  3. Step 3: Cross multiply
    2,663.94x = 3,673.68 × 1,766.72
  4. Step 4: Simplify right side
    2,663.94x = 6,490,363.93
  5. Step 5: Solve for x
    x = 6,490,363.93/2,663.94
  6. Step 6: Final answer
    x = 2,436.38

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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.