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Finding the Fourth Proportional to 2,533.96, 3,819.62 and 2,323.35

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Solution

The fourth proportional to 2,533.96, 3,819.62 and 2,323.35 is: 3,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.96 : 3,819.62 = 2,323.35 : x
  2. Step 2: Convert to fraction form
    2,533.96/3,819.62 = 2,323.35/x
  3. Step 3: Cross multiply
    2,533.96x = 3,819.62 × 2,323.35
  4. Step 4: Simplify right side
    2,533.96x = 8,874,294.02
  5. Step 5: Solve for x
    x = 8,874,294.02/2,533.96
  6. Step 6: Final answer
    x = 3,502.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.