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Finding the Fourth Proportional to 2,887.85, 3,980.53 and 2,257.26

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Solution

The fourth proportional to 2,887.85, 3,980.53 and 2,257.26 is: 3,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.85 : 3,980.53 = 2,257.26 : x
  2. Step 2: Convert to fraction form
    2,887.85/3,980.53 = 2,257.26/x
  3. Step 3: Cross multiply
    2,887.85x = 3,980.53 × 2,257.26
  4. Step 4: Simplify right side
    2,887.85x = 8,985,079.86
  5. Step 5: Solve for x
    x = 8,985,079.86/2,887.85
  6. Step 6: Final answer
    x = 3,111.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.