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Finding the Fourth Proportional to 1,842.63, 2,761.17 and 1,021.10

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Solution

The fourth proportional to 1,842.63, 2,761.17 and 1,021.10 is: 1,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.63 : 2,761.17 = 1,021.10 : x
  2. Step 2: Convert to fraction form
    1,842.63/2,761.17 = 1,021.10/x
  3. Step 3: Cross multiply
    1,842.63x = 2,761.17 × 1,021.10
  4. Step 4: Simplify right side
    1,842.63x = 2,819,416.88
  5. Step 5: Solve for x
    x = 2,819,416.88/1,842.63
  6. Step 6: Final answer
    x = 1,530.10

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