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Finding the Fourth Proportional to 2,549.92, 3,520.98 and 1,607.22

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Solution

The fourth proportional to 2,549.92, 3,520.98 and 1,607.22 is: 2,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.92 : 3,520.98 = 1,607.22 : x
  2. Step 2: Convert to fraction form
    2,549.92/3,520.98 = 1,607.22/x
  3. Step 3: Cross multiply
    2,549.92x = 3,520.98 × 1,607.22
  4. Step 4: Simplify right side
    2,549.92x = 5,658,989.48
  5. Step 5: Solve for x
    x = 5,658,989.48/2,549.92
  6. Step 6: Final answer
    x = 2,219.28

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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.