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Finding the Fourth Proportional to 3,083.86, 4,254.52 and 1,964.59

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Solution

The fourth proportional to 3,083.86, 4,254.52 and 1,964.59 is: 2,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.86 : 4,254.52 = 1,964.59 : x
  2. Step 2: Convert to fraction form
    3,083.86/4,254.52 = 1,964.59/x
  3. Step 3: Cross multiply
    3,083.86x = 4,254.52 × 1,964.59
  4. Step 4: Simplify right side
    3,083.86x = 8,358,387.45
  5. Step 5: Solve for x
    x = 8,358,387.45/3,083.86
  6. Step 6: Final answer
    x = 2,710.37

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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.