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Finding the Fourth Proportional to 2,803.68, 4,206.06 and 1,342.71

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Solution

The fourth proportional to 2,803.68, 4,206.06 and 1,342.71 is: 2,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.68 : 4,206.06 = 1,342.71 : x
  2. Step 2: Convert to fraction form
    2,803.68/4,206.06 = 1,342.71/x
  3. Step 3: Cross multiply
    2,803.68x = 4,206.06 × 1,342.71
  4. Step 4: Simplify right side
    2,803.68x = 5,647,518.82
  5. Step 5: Solve for x
    x = 5,647,518.82/2,803.68
  6. Step 6: Final answer
    x = 2,014.32

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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.