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Finding the Fourth Proportional to 2,384.93, 3,291.20 and 1,453.43

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Solution

The fourth proportional to 2,384.93, 3,291.20 and 1,453.43 is: 2,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.93 : 3,291.20 = 1,453.43 : x
  2. Step 2: Convert to fraction form
    2,384.93/3,291.20 = 1,453.43/x
  3. Step 3: Cross multiply
    2,384.93x = 3,291.20 × 1,453.43
  4. Step 4: Simplify right side
    2,384.93x = 4,783,528.82
  5. Step 5: Solve for x
    x = 4,783,528.82/2,384.93
  6. Step 6: Final answer
    x = 2,005.73

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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.