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Finding the Fourth Proportional to 3,410.68, 4,705.72 and 2,083

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Solution

The fourth proportional to 3,410.68, 4,705.72 and 2,083 is: 2,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.68 : 4,705.72 = 2,083 : x
  2. Step 2: Convert to fraction form
    3,410.68/4,705.72 = 2,083/x
  3. Step 3: Cross multiply
    3,410.68x = 4,705.72 × 2,083
  4. Step 4: Simplify right side
    3,410.68x = 9,802,014.76
  5. Step 5: Solve for x
    x = 9,802,014.76/3,410.68
  6. Step 6: Final answer
    x = 2,873.92

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Why These Related Problems?

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