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Finding the Fourth Proportional to 3,445.34, 4,754.31 and 2,029.15

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Solution

The fourth proportional to 3,445.34, 4,754.31 and 2,029.15 is: 2,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.34 : 4,754.31 = 2,029.15 : x
  2. Step 2: Convert to fraction form
    3,445.34/4,754.31 = 2,029.15/x
  3. Step 3: Cross multiply
    3,445.34x = 4,754.31 × 2,029.15
  4. Step 4: Simplify right side
    3,445.34x = 9,647,184.36
  5. Step 5: Solve for x
    x = 9,647,184.36/3,445.34
  6. Step 6: Final answer
    x = 2,800.07

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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.