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Finding the Fourth Proportional to 2,145.87, 2,958.80 and 1,990.35

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Solution

The fourth proportional to 2,145.87, 2,958.80 and 1,990.35 is: 2,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.87 : 2,958.80 = 1,990.35 : x
  2. Step 2: Convert to fraction form
    2,145.87/2,958.80 = 1,990.35/x
  3. Step 3: Cross multiply
    2,145.87x = 2,958.80 × 1,990.35
  4. Step 4: Simplify right side
    2,145.87x = 5,889,037.63
  5. Step 5: Solve for x
    x = 5,889,037.63/2,145.87
  6. Step 6: Final answer
    x = 2,744.36

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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.