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Finding the Fourth Proportional to 2,688.50, 3,710.77 and 1,641.44

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Solution

The fourth proportional to 2,688.50, 3,710.77 and 1,641.44 is: 2,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.50 : 3,710.77 = 1,641.44 : x
  2. Step 2: Convert to fraction form
    2,688.50/3,710.77 = 1,641.44/x
  3. Step 3: Cross multiply
    2,688.50x = 3,710.77 × 1,641.44
  4. Step 4: Simplify right side
    2,688.50x = 6,091,006.31
  5. Step 5: Solve for x
    x = 6,091,006.31/2,688.50
  6. Step 6: Final answer
    x = 2,265.58

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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.