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Finding the Fourth Proportional to 3,145.98, 4,341.09 and 1,820.10

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Solution

The fourth proportional to 3,145.98, 4,341.09 and 1,820.10 is: 2,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.98 : 4,341.09 = 1,820.10 : x
  2. Step 2: Convert to fraction form
    3,145.98/4,341.09 = 1,820.10/x
  3. Step 3: Cross multiply
    3,145.98x = 4,341.09 × 1,820.10
  4. Step 4: Simplify right side
    3,145.98x = 7,901,217.91
  5. Step 5: Solve for x
    x = 7,901,217.91/3,145.98
  6. Step 6: Final answer
    x = 2,511.53

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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.