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Finding the Fourth Proportional to 2,041.01, 3,070.16 and 1,842.29

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Solution

The fourth proportional to 2,041.01, 3,070.16 and 1,842.29 is: 2,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.01 : 3,070.16 = 1,842.29 : x
  2. Step 2: Convert to fraction form
    2,041.01/3,070.16 = 1,842.29/x
  3. Step 3: Cross multiply
    2,041.01x = 3,070.16 × 1,842.29
  4. Step 4: Simplify right side
    2,041.01x = 5,656,115.85
  5. Step 5: Solve for x
    x = 5,656,115.85/2,041.01
  6. Step 6: Final answer
    x = 2,771.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.