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Finding the Fourth Proportional to 2,881.08, 4,321.48 and 801.07

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Solution

The fourth proportional to 2,881.08, 4,321.48 and 801.07 is: 1,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.08 : 4,321.48 = 801.07 : x
  2. Step 2: Convert to fraction form
    2,881.08/4,321.48 = 801.07/x
  3. Step 3: Cross multiply
    2,881.08x = 4,321.48 × 801.07
  4. Step 4: Simplify right side
    2,881.08x = 3,461,782.37
  5. Step 5: Solve for x
    x = 3,461,782.37/2,881.08
  6. Step 6: Final answer
    x = 1,201.56

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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.