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Finding the Fourth Proportional to 2,145.60, 3,219.42 and 1,049.37

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Solution

The fourth proportional to 2,145.60, 3,219.42 and 1,049.37 is: 1,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.60 : 3,219.42 = 1,049.37 : x
  2. Step 2: Convert to fraction form
    2,145.60/3,219.42 = 1,049.37/x
  3. Step 3: Cross multiply
    2,145.60x = 3,219.42 × 1,049.37
  4. Step 4: Simplify right side
    2,145.60x = 3,378,362.77
  5. Step 5: Solve for x
    x = 3,378,362.77/2,145.60
  6. Step 6: Final answer
    x = 1,574.55

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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.