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Finding the Fourth Proportional to 1,842.30, 2,766.24 and 1,495.98

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Solution

The fourth proportional to 1,842.30, 2,766.24 and 1,495.98 is: 2,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.30 : 2,766.24 = 1,495.98 : x
  2. Step 2: Convert to fraction form
    1,842.30/2,766.24 = 1,495.98/x
  3. Step 3: Cross multiply
    1,842.30x = 2,766.24 × 1,495.98
  4. Step 4: Simplify right side
    1,842.30x = 4,138,239.72
  5. Step 5: Solve for x
    x = 4,138,239.72/1,842.30
  6. Step 6: Final answer
    x = 2,246.24

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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.