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Finding the Fourth Proportional to 2,948.66, 4,422.66 and 757.44

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Solution

The fourth proportional to 2,948.66, 4,422.66 and 757.44 is: 1,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.66 : 4,422.66 = 757.44 : x
  2. Step 2: Convert to fraction form
    2,948.66/4,422.66 = 757.44/x
  3. Step 3: Cross multiply
    2,948.66x = 4,422.66 × 757.44
  4. Step 4: Simplify right side
    2,948.66x = 3,349,899.59
  5. Step 5: Solve for x
    x = 3,349,899.59/2,948.66
  6. Step 6: Final answer
    x = 1,136.08

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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.