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Finding the Fourth Proportional to 2,948.62, 4,422.91 and 757.34

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Solution

The fourth proportional to 2,948.62, 4,422.91 and 757.34 is: 1,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.62 : 4,422.91 = 757.34 : x
  2. Step 2: Convert to fraction form
    2,948.62/4,422.91 = 757.34/x
  3. Step 3: Cross multiply
    2,948.62x = 4,422.91 × 757.34
  4. Step 4: Simplify right side
    2,948.62x = 3,349,646.66
  5. Step 5: Solve for x
    x = 3,349,646.66/2,948.62
  6. Step 6: Final answer
    x = 1,136.01

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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.