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Finding the Fourth Proportional to 2,989.63, 4,125.36 and 1,730.44

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Solution

The fourth proportional to 2,989.63, 4,125.36 and 1,730.44 is: 2,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.63 : 4,125.36 = 1,730.44 : x
  2. Step 2: Convert to fraction form
    2,989.63/4,125.36 = 1,730.44/x
  3. Step 3: Cross multiply
    2,989.63x = 4,125.36 × 1,730.44
  4. Step 4: Simplify right side
    2,989.63x = 7,138,687.96
  5. Step 5: Solve for x
    x = 7,138,687.96/2,989.63
  6. Step 6: Final answer
    x = 2,387.82

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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.