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Finding the Fourth Proportional to 2,859.39, 3,946.62 and 1,862.94

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Solution

The fourth proportional to 2,859.39, 3,946.62 and 1,862.94 is: 2,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.39 : 3,946.62 = 1,862.94 : x
  2. Step 2: Convert to fraction form
    2,859.39/3,946.62 = 1,862.94/x
  3. Step 3: Cross multiply
    2,859.39x = 3,946.62 × 1,862.94
  4. Step 4: Simplify right side
    2,859.39x = 7,352,316.26
  5. Step 5: Solve for x
    x = 7,352,316.26/2,859.39
  6. Step 6: Final answer
    x = 2,571.29

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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.