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Finding the Fourth Proportional to 2,688.32, 3,710.04 and 1,640.72

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Solution

The fourth proportional to 2,688.32, 3,710.04 and 1,640.72 is: 2,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.32 : 3,710.04 = 1,640.72 : x
  2. Step 2: Convert to fraction form
    2,688.32/3,710.04 = 1,640.72/x
  3. Step 3: Cross multiply
    2,688.32x = 3,710.04 × 1,640.72
  4. Step 4: Simplify right side
    2,688.32x = 6,087,136.83
  5. Step 5: Solve for x
    x = 6,087,136.83/2,688.32
  6. Step 6: Final answer
    x = 2,264.29

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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.