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Finding the Fourth Proportional to 2,379.78, 3,283.53 and 1,384.46

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Solution

The fourth proportional to 2,379.78, 3,283.53 and 1,384.46 is: 1,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.78 : 3,283.53 = 1,384.46 : x
  2. Step 2: Convert to fraction form
    2,379.78/3,283.53 = 1,384.46/x
  3. Step 3: Cross multiply
    2,379.78x = 3,283.53 × 1,384.46
  4. Step 4: Simplify right side
    2,379.78x = 4,545,899.53
  5. Step 5: Solve for x
    x = 4,545,899.53/2,379.78
  6. Step 6: Final answer
    x = 1,910.22

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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.