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Finding the Fourth Proportional to 2,699.80, 3,727.76 and 2,178.16

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Solution

The fourth proportional to 2,699.80, 3,727.76 and 2,178.16 is: 3,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.80 : 3,727.76 = 2,178.16 : x
  2. Step 2: Convert to fraction form
    2,699.80/3,727.76 = 2,178.16/x
  3. Step 3: Cross multiply
    2,699.80x = 3,727.76 × 2,178.16
  4. Step 4: Simplify right side
    2,699.80x = 8,119,657.72
  5. Step 5: Solve for x
    x = 8,119,657.72/2,699.80
  6. Step 6: Final answer
    x = 3,007.50

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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.