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Finding the Fourth Proportional to 3,410.46, 4,704.63 and 2,084.22

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Solution

The fourth proportional to 3,410.46, 4,704.63 and 2,084.22 is: 2,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.46 : 4,704.63 = 2,084.22 : x
  2. Step 2: Convert to fraction form
    3,410.46/4,704.63 = 2,084.22/x
  3. Step 3: Cross multiply
    3,410.46x = 4,704.63 × 2,084.22
  4. Step 4: Simplify right side
    3,410.46x = 9,805,483.94
  5. Step 5: Solve for x
    x = 9,805,483.94/3,410.46
  6. Step 6: Final answer
    x = 2,875.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.