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Finding the Fourth Proportional to 2,070.98, 3,120.74 and 1,713.80

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Solution

The fourth proportional to 2,070.98, 3,120.74 and 1,713.80 is: 2,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.98 : 3,120.74 = 1,713.80 : x
  2. Step 2: Convert to fraction form
    2,070.98/3,120.74 = 1,713.80/x
  3. Step 3: Cross multiply
    2,070.98x = 3,120.74 × 1,713.80
  4. Step 4: Simplify right side
    2,070.98x = 5,348,324.21
  5. Step 5: Solve for x
    x = 5,348,324.21/2,070.98
  6. Step 6: Final answer
    x = 2,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.