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Finding the Fourth Proportional to 2,841.69, 4,262.07 and 2,017.47

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Solution

The fourth proportional to 2,841.69, 4,262.07 and 2,017.47 is: 3,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.69 : 4,262.07 = 2,017.47 : x
  2. Step 2: Convert to fraction form
    2,841.69/4,262.07 = 2,017.47/x
  3. Step 3: Cross multiply
    2,841.69x = 4,262.07 × 2,017.47
  4. Step 4: Simplify right side
    2,841.69x = 8,598,598.36
  5. Step 5: Solve for x
    x = 8,598,598.36/2,841.69
  6. Step 6: Final answer
    x = 3,025.87

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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.