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Finding the Fourth Proportional to 2,854.58, 3,936.30 and 1,959.63

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Solution

The fourth proportional to 2,854.58, 3,936.30 and 1,959.63 is: 2,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.58 : 3,936.30 = 1,959.63 : x
  2. Step 2: Convert to fraction form
    2,854.58/3,936.30 = 1,959.63/x
  3. Step 3: Cross multiply
    2,854.58x = 3,936.30 × 1,959.63
  4. Step 4: Simplify right side
    2,854.58x = 7,713,669.46
  5. Step 5: Solve for x
    x = 7,713,669.46/2,854.58
  6. Step 6: Final answer
    x = 2,702.21

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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.