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Finding the Fourth Proportional to 2,688.76, 4,027.65 and 1,589.80

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Solution

The fourth proportional to 2,688.76, 4,027.65 and 1,589.80 is: 2,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.76 : 4,027.65 = 1,589.80 : x
  2. Step 2: Convert to fraction form
    2,688.76/4,027.65 = 1,589.80/x
  3. Step 3: Cross multiply
    2,688.76x = 4,027.65 × 1,589.80
  4. Step 4: Simplify right side
    2,688.76x = 6,403,157.97
  5. Step 5: Solve for x
    x = 6,403,157.97/2,688.76
  6. Step 6: Final answer
    x = 2,381.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.