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Finding the Fourth Proportional to 2,903.87, 4,007.42 and 1,577.66

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Solution

The fourth proportional to 2,903.87, 4,007.42 and 1,577.66 is: 2,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.87 : 4,007.42 = 1,577.66 : x
  2. Step 2: Convert to fraction form
    2,903.87/4,007.42 = 1,577.66/x
  3. Step 3: Cross multiply
    2,903.87x = 4,007.42 × 1,577.66
  4. Step 4: Simplify right side
    2,903.87x = 6,322,346.24
  5. Step 5: Solve for x
    x = 6,322,346.24/2,903.87
  6. Step 6: Final answer
    x = 2,177.21

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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.