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Finding the Fourth Proportional to 2,815.32, 4,223 and 1,842.24

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Solution

The fourth proportional to 2,815.32, 4,223 and 1,842.24 is: 2,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.32 : 4,223 = 1,842.24 : x
  2. Step 2: Convert to fraction form
    2,815.32/4,223 = 1,842.24/x
  3. Step 3: Cross multiply
    2,815.32x = 4,223 × 1,842.24
  4. Step 4: Simplify right side
    2,815.32x = 7,779,779.52
  5. Step 5: Solve for x
    x = 7,779,779.52/2,815.32
  6. Step 6: Final answer
    x = 2,763.37

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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.