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Finding the Fourth Proportional to 2,064.20, 3,089.10 and 1,891.40

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Solution

The fourth proportional to 2,064.20, 3,089.10 and 1,891.40 is: 2,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.20 : 3,089.10 = 1,891.40 : x
  2. Step 2: Convert to fraction form
    2,064.20/3,089.10 = 1,891.40/x
  3. Step 3: Cross multiply
    2,064.20x = 3,089.10 × 1,891.40
  4. Step 4: Simplify right side
    2,064.20x = 5,842,723.74
  5. Step 5: Solve for x
    x = 5,842,723.74/2,064.20
  6. Step 6: Final answer
    x = 2,830.50

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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.