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Finding the Fourth Proportional to 2,074.88, 2,841.12 and 2,060.48

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Solution

The fourth proportional to 2,074.88, 2,841.12 and 2,060.48 is: 2,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.88 : 2,841.12 = 2,060.48 : x
  2. Step 2: Convert to fraction form
    2,074.88/2,841.12 = 2,060.48/x
  3. Step 3: Cross multiply
    2,074.88x = 2,841.12 × 2,060.48
  4. Step 4: Simplify right side
    2,074.88x = 5,854,070.94
  5. Step 5: Solve for x
    x = 5,854,070.94/2,074.88
  6. Step 6: Final answer
    x = 2,821.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.