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Finding the Fourth Proportional to 1,842.22, 2,764.70 and 1,019.66

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Solution

The fourth proportional to 1,842.22, 2,764.70 and 1,019.66 is: 1,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.22 : 2,764.70 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    1,842.22/2,764.70 = 1,019.66/x
  3. Step 3: Cross multiply
    1,842.22x = 2,764.70 × 1,019.66
  4. Step 4: Simplify right side
    1,842.22x = 2,819,054.00
  5. Step 5: Solve for x
    x = 2,819,054.00/1,842.22
  6. Step 6: Final answer
    x = 1,530.25

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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.