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Finding the Fourth Proportional to 2,672.35, 3,688.28 and 1,677.77

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Solution

The fourth proportional to 2,672.35, 3,688.28 and 1,677.77 is: 2,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.35 : 3,688.28 = 1,677.77 : x
  2. Step 2: Convert to fraction form
    2,672.35/3,688.28 = 1,677.77/x
  3. Step 3: Cross multiply
    2,672.35x = 3,688.28 × 1,677.77
  4. Step 4: Simplify right side
    2,672.35x = 6,188,086.37
  5. Step 5: Solve for x
    x = 6,188,086.37/2,672.35
  6. Step 6: Final answer
    x = 2,315.60

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