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Finding the Fourth Proportional to 1,733.78, 2,589.60 and 1,568.99

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Solution

The fourth proportional to 1,733.78, 2,589.60 and 1,568.99 is: 2,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.78 : 2,589.60 = 1,568.99 : x
  2. Step 2: Convert to fraction form
    1,733.78/2,589.60 = 1,568.99/x
  3. Step 3: Cross multiply
    1,733.78x = 2,589.60 × 1,568.99
  4. Step 4: Simplify right side
    1,733.78x = 4,063,056.50
  5. Step 5: Solve for x
    x = 4,063,056.50/1,733.78
  6. Step 6: Final answer
    x = 2,343.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.