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Finding the Fourth Proportional to 2,410.12, 3,328.86 and 1,820.44

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Solution

The fourth proportional to 2,410.12, 3,328.86 and 1,820.44 is: 2,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.12 : 3,328.86 = 1,820.44 : x
  2. Step 2: Convert to fraction form
    2,410.12/3,328.86 = 1,820.44/x
  3. Step 3: Cross multiply
    2,410.12x = 3,328.86 × 1,820.44
  4. Step 4: Simplify right side
    2,410.12x = 6,059,989.90
  5. Step 5: Solve for x
    x = 6,059,989.90/2,410.12
  6. Step 6: Final answer
    x = 2,514.39

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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.