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Finding the Fourth Proportional to 2,008.96, 3,014.08 and 955.22

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Solution

The fourth proportional to 2,008.96, 3,014.08 and 955.22 is: 1,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.96 : 3,014.08 = 955.22 : x
  2. Step 2: Convert to fraction form
    2,008.96/3,014.08 = 955.22/x
  3. Step 3: Cross multiply
    2,008.96x = 3,014.08 × 955.22
  4. Step 4: Simplify right side
    2,008.96x = 2,879,092.04
  5. Step 5: Solve for x
    x = 2,879,092.04/2,008.96
  6. Step 6: Final answer
    x = 1,433.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.