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Finding the Fourth Proportional to 2,677.96, 4,014.06 and 2,193.16

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Solution

The fourth proportional to 2,677.96, 4,014.06 and 2,193.16 is: 3,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.96 : 4,014.06 = 2,193.16 : x
  2. Step 2: Convert to fraction form
    2,677.96/4,014.06 = 2,193.16/x
  3. Step 3: Cross multiply
    2,677.96x = 4,014.06 × 2,193.16
  4. Step 4: Simplify right side
    2,677.96x = 8,803,475.83
  5. Step 5: Solve for x
    x = 8,803,475.83/2,677.96
  6. Step 6: Final answer
    x = 3,287.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.