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Finding the Fourth Proportional to 1,826.93, 2,742.74 and 1,568.59

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Solution

The fourth proportional to 1,826.93, 2,742.74 and 1,568.59 is: 2,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.93 : 2,742.74 = 1,568.59 : x
  2. Step 2: Convert to fraction form
    1,826.93/2,742.74 = 1,568.59/x
  3. Step 3: Cross multiply
    1,826.93x = 2,742.74 × 1,568.59
  4. Step 4: Simplify right side
    1,826.93x = 4,302,234.54
  5. Step 5: Solve for x
    x = 4,302,234.54/1,826.93
  6. Step 6: Final answer
    x = 2,354.90

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Why These Related Problems?

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