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Finding the Fourth Proportional to 2,357.97, 3,538.30 and 1,384.75

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Solution

The fourth proportional to 2,357.97, 3,538.30 and 1,384.75 is: 2,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.97 : 3,538.30 = 1,384.75 : x
  2. Step 2: Convert to fraction form
    2,357.97/3,538.30 = 1,384.75/x
  3. Step 3: Cross multiply
    2,357.97x = 3,538.30 × 1,384.75
  4. Step 4: Simplify right side
    2,357.97x = 4,899,660.93
  5. Step 5: Solve for x
    x = 4,899,660.93/2,357.97
  6. Step 6: Final answer
    x = 2,077.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.