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Finding the Fourth Proportional to 2,688.85, 3,710.56 and 1,640.91

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Solution

The fourth proportional to 2,688.85, 3,710.56 and 1,640.91 is: 2,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.85 : 3,710.56 = 1,640.91 : x
  2. Step 2: Convert to fraction form
    2,688.85/3,710.56 = 1,640.91/x
  3. Step 3: Cross multiply
    2,688.85x = 3,710.56 × 1,640.91
  4. Step 4: Simplify right side
    2,688.85x = 6,088,687.03
  5. Step 5: Solve for x
    x = 6,088,687.03/2,688.85
  6. Step 6: Final answer
    x = 2,264.42

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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.