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Finding the Fourth Proportional to 1,930.84, 2,664.90 and 1,145.32

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Solution

The fourth proportional to 1,930.84, 2,664.90 and 1,145.32 is: 1,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.84 : 2,664.90 = 1,145.32 : x
  2. Step 2: Convert to fraction form
    1,930.84/2,664.90 = 1,145.32/x
  3. Step 3: Cross multiply
    1,930.84x = 2,664.90 × 1,145.32
  4. Step 4: Simplify right side
    1,930.84x = 3,052,163.27
  5. Step 5: Solve for x
    x = 3,052,163.27/1,930.84
  6. Step 6: Final answer
    x = 1,580.74

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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.