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Finding the Fourth Proportional to 2,018.05, 2,784.78 and 1,178.99

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Solution

The fourth proportional to 2,018.05, 2,784.78 and 1,178.99 is: 1,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.05 : 2,784.78 = 1,178.99 : x
  2. Step 2: Convert to fraction form
    2,018.05/2,784.78 = 1,178.99/x
  3. Step 3: Cross multiply
    2,018.05x = 2,784.78 × 1,178.99
  4. Step 4: Simplify right side
    2,018.05x = 3,283,216.39
  5. Step 5: Solve for x
    x = 3,283,216.39/2,018.05
  6. Step 6: Final answer
    x = 1,626.93

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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.