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Finding the Fourth Proportional to 2,892.75, 4,340.64 and 1,577.43

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Solution

The fourth proportional to 2,892.75, 4,340.64 and 1,577.43 is: 2,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.75 : 4,340.64 = 1,577.43 : x
  2. Step 2: Convert to fraction form
    2,892.75/4,340.64 = 1,577.43/x
  3. Step 3: Cross multiply
    2,892.75x = 4,340.64 × 1,577.43
  4. Step 4: Simplify right side
    2,892.75x = 6,847,055.76
  5. Step 5: Solve for x
    x = 6,847,055.76/2,892.75
  6. Step 6: Final answer
    x = 2,366.97

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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.