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Finding the Fourth Proportional to 2,359.71, 3,538.19 and 1,383.75

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Solution

The fourth proportional to 2,359.71, 3,538.19 and 1,383.75 is: 2,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.71 : 3,538.19 = 1,383.75 : x
  2. Step 2: Convert to fraction form
    2,359.71/3,538.19 = 1,383.75/x
  3. Step 3: Cross multiply
    2,359.71x = 3,538.19 × 1,383.75
  4. Step 4: Simplify right side
    2,359.71x = 4,895,963.49
  5. Step 5: Solve for x
    x = 4,895,963.49/2,359.71
  6. Step 6: Final answer
    x = 2,074.82

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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.