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Finding the Fourth Proportional to 2,891.43, 3,988.71 and 1,695.63

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Solution

The fourth proportional to 2,891.43, 3,988.71 and 1,695.63 is: 2,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.43 : 3,988.71 = 1,695.63 : x
  2. Step 2: Convert to fraction form
    2,891.43/3,988.71 = 1,695.63/x
  3. Step 3: Cross multiply
    2,891.43x = 3,988.71 × 1,695.63
  4. Step 4: Simplify right side
    2,891.43x = 6,763,376.34
  5. Step 5: Solve for x
    x = 6,763,376.34/2,891.43
  6. Step 6: Final answer
    x = 2,339.11

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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.