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Finding the Fourth Proportional to 2,714.88, 3,745.16 and 1,876.40

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Solution

The fourth proportional to 2,714.88, 3,745.16 and 1,876.40 is: 2,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.88 : 3,745.16 = 1,876.40 : x
  2. Step 2: Convert to fraction form
    2,714.88/3,745.16 = 1,876.40/x
  3. Step 3: Cross multiply
    2,714.88x = 3,745.16 × 1,876.40
  4. Step 4: Simplify right side
    2,714.88x = 7,027,418.22
  5. Step 5: Solve for x
    x = 7,027,418.22/2,714.88
  6. Step 6: Final answer
    x = 2,588.48

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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.