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Finding the Fourth Proportional to 1,827.78, 2,516.13 and 1,384.98

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Solution

The fourth proportional to 1,827.78, 2,516.13 and 1,384.98 is: 1,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.78 : 2,516.13 = 1,384.98 : x
  2. Step 2: Convert to fraction form
    1,827.78/2,516.13 = 1,384.98/x
  3. Step 3: Cross multiply
    1,827.78x = 2,516.13 × 1,384.98
  4. Step 4: Simplify right side
    1,827.78x = 3,484,789.73
  5. Step 5: Solve for x
    x = 3,484,789.73/1,827.78
  6. Step 6: Final answer
    x = 1,906.57

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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.