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Finding the Fourth Proportional to 2,450.95, 3,380.63 and 1,566.34

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Solution

The fourth proportional to 2,450.95, 3,380.63 and 1,566.34 is: 2,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.95 : 3,380.63 = 1,566.34 : x
  2. Step 2: Convert to fraction form
    2,450.95/3,380.63 = 1,566.34/x
  3. Step 3: Cross multiply
    2,450.95x = 3,380.63 × 1,566.34
  4. Step 4: Simplify right side
    2,450.95x = 5,295,199.71
  5. Step 5: Solve for x
    x = 5,295,199.71/2,450.95
  6. Step 6: Final answer
    x = 2,160.47

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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.