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Finding the Fourth Proportional to 2,688.28, 3,703.20 and 2,288.65

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Solution

The fourth proportional to 2,688.28, 3,703.20 and 2,288.65 is: 3,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.28 : 3,703.20 = 2,288.65 : x
  2. Step 2: Convert to fraction form
    2,688.28/3,703.20 = 2,288.65/x
  3. Step 3: Cross multiply
    2,688.28x = 3,703.20 × 2,288.65
  4. Step 4: Simplify right side
    2,688.28x = 8,475,328.68
  5. Step 5: Solve for x
    x = 8,475,328.68/2,688.28
  6. Step 6: Final answer
    x = 3,152.70

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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.