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Finding the Fourth Proportional to 2,607.32, 3,911.22 and 758.36

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Solution

The fourth proportional to 2,607.32, 3,911.22 and 758.36 is: 1,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.32 : 3,911.22 = 758.36 : x
  2. Step 2: Convert to fraction form
    2,607.32/3,911.22 = 758.36/x
  3. Step 3: Cross multiply
    2,607.32x = 3,911.22 × 758.36
  4. Step 4: Simplify right side
    2,607.32x = 2,966,112.80
  5. Step 5: Solve for x
    x = 2,966,112.80/2,607.32
  6. Step 6: Final answer
    x = 1,137.61

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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.