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Finding the Fourth Proportional to 1,941.29, 2,911.99 and 480.46

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Solution

The fourth proportional to 1,941.29, 2,911.99 and 480.46 is: 720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.29 : 2,911.99 = 480.46 : x
  2. Step 2: Convert to fraction form
    1,941.29/2,911.99 = 480.46/x
  3. Step 3: Cross multiply
    1,941.29x = 2,911.99 × 480.46
  4. Step 4: Simplify right side
    1,941.29x = 1,399,094.72
  5. Step 5: Solve for x
    x = 1,399,094.72/1,941.29
  6. Step 6: Final answer
    x = 720.70

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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.