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Finding the Fourth Proportional to 3,410.02, 4,706.13 and 2,012.50

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Solution

The fourth proportional to 3,410.02, 4,706.13 and 2,012.50 is: 2,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.02 : 4,706.13 = 2,012.50 : x
  2. Step 2: Convert to fraction form
    3,410.02/4,706.13 = 2,012.50/x
  3. Step 3: Cross multiply
    3,410.02x = 4,706.13 × 2,012.50
  4. Step 4: Simplify right side
    3,410.02x = 9,471,086.63
  5. Step 5: Solve for x
    x = 9,471,086.63/3,410.02
  6. Step 6: Final answer
    x = 2,777.43

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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.