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Finding the Fourth Proportional to 3,017.69, 4,164.61 and 2,024.63

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Solution

The fourth proportional to 3,017.69, 4,164.61 and 2,024.63 is: 2,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.69 : 4,164.61 = 2,024.63 : x
  2. Step 2: Convert to fraction form
    3,017.69/4,164.61 = 2,024.63/x
  3. Step 3: Cross multiply
    3,017.69x = 4,164.61 × 2,024.63
  4. Step 4: Simplify right side
    3,017.69x = 8,431,794.34
  5. Step 5: Solve for x
    x = 8,431,794.34/3,017.69
  6. Step 6: Final answer
    x = 2,794.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.