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Finding the Fourth Proportional to 4,202.69, 6,304.05 and 1,894.19

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Solution

The fourth proportional to 4,202.69, 6,304.05 and 1,894.19 is: 2,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.69 : 6,304.05 = 1,894.19 : x
  2. Step 2: Convert to fraction form
    4,202.69/6,304.05 = 1,894.19/x
  3. Step 3: Cross multiply
    4,202.69x = 6,304.05 × 1,894.19
  4. Step 4: Simplify right side
    4,202.69x = 11,941,068.47
  5. Step 5: Solve for x
    x = 11,941,068.47/4,202.69
  6. Step 6: Final answer
    x = 2,841.29

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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.