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Finding the Fourth Proportional to 2,803.59, 4,205.40 and 1,342.41

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Solution

The fourth proportional to 2,803.59, 4,205.40 and 1,342.41 is: 2,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.59 : 4,205.40 = 1,342.41 : x
  2. Step 2: Convert to fraction form
    2,803.59/4,205.40 = 1,342.41/x
  3. Step 3: Cross multiply
    2,803.59x = 4,205.40 × 1,342.41
  4. Step 4: Simplify right side
    2,803.59x = 5,645,371.01
  5. Step 5: Solve for x
    x = 5,645,371.01/2,803.59
  6. Step 6: Final answer
    x = 2,013.62

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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.