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Finding the Fourth Proportional to 2,165.86, 3,264.82 and 1,981.36

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Solution

The fourth proportional to 2,165.86, 3,264.82 and 1,981.36 is: 2,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.86 : 3,264.82 = 1,981.36 : x
  2. Step 2: Convert to fraction form
    2,165.86/3,264.82 = 1,981.36/x
  3. Step 3: Cross multiply
    2,165.86x = 3,264.82 × 1,981.36
  4. Step 4: Simplify right side
    2,165.86x = 6,468,783.76
  5. Step 5: Solve for x
    x = 6,468,783.76/2,165.86
  6. Step 6: Final answer
    x = 2,986.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.