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Finding the Fourth Proportional to 2,148.26, 3,222.64 and 761.30

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Solution

The fourth proportional to 2,148.26, 3,222.64 and 761.30 is: 1,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.26 : 3,222.64 = 761.30 : x
  2. Step 2: Convert to fraction form
    2,148.26/3,222.64 = 761.30/x
  3. Step 3: Cross multiply
    2,148.26x = 3,222.64 × 761.30
  4. Step 4: Simplify right side
    2,148.26x = 2,453,395.83
  5. Step 5: Solve for x
    x = 2,453,395.83/2,148.26
  6. Step 6: Final answer
    x = 1,142.04

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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.