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Finding the Fourth Proportional to 2,688.12, 3,710.02 and 1,640.80

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Solution

The fourth proportional to 2,688.12, 3,710.02 and 1,640.80 is: 2,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.12 : 3,710.02 = 1,640.80 : x
  2. Step 2: Convert to fraction form
    2,688.12/3,710.02 = 1,640.80/x
  3. Step 3: Cross multiply
    2,688.12x = 3,710.02 × 1,640.80
  4. Step 4: Simplify right side
    2,688.12x = 6,087,400.82
  5. Step 5: Solve for x
    x = 6,087,400.82/2,688.12
  6. Step 6: Final answer
    x = 2,264.56

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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.