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Finding the Fourth Proportional to 2,139.93, 3,205.23 and 1,315.71

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Solution

The fourth proportional to 2,139.93, 3,205.23 and 1,315.71 is: 1,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.93 : 3,205.23 = 1,315.71 : x
  2. Step 2: Convert to fraction form
    2,139.93/3,205.23 = 1,315.71/x
  3. Step 3: Cross multiply
    2,139.93x = 3,205.23 × 1,315.71
  4. Step 4: Simplify right side
    2,139.93x = 4,217,130.56
  5. Step 5: Solve for x
    x = 4,217,130.56/2,139.93
  6. Step 6: Final answer
    x = 1,970.69

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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.