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Finding the Fourth Proportional to 2,842.71, 4,262.13 and 1,745.52

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Solution

The fourth proportional to 2,842.71, 4,262.13 and 1,745.52 is: 2,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.71 : 4,262.13 = 1,745.52 : x
  2. Step 2: Convert to fraction form
    2,842.71/4,262.13 = 1,745.52/x
  3. Step 3: Cross multiply
    2,842.71x = 4,262.13 × 1,745.52
  4. Step 4: Simplify right side
    2,842.71x = 7,439,633.16
  5. Step 5: Solve for x
    x = 7,439,633.16/2,842.71
  6. Step 6: Final answer
    x = 2,617.09

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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.