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Finding the Fourth Proportional to 2,290.54, 3,155.61 and 1,896.34

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Solution

The fourth proportional to 2,290.54, 3,155.61 and 1,896.34 is: 2,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.54 : 3,155.61 = 1,896.34 : x
  2. Step 2: Convert to fraction form
    2,290.54/3,155.61 = 1,896.34/x
  3. Step 3: Cross multiply
    2,290.54x = 3,155.61 × 1,896.34
  4. Step 4: Simplify right side
    2,290.54x = 5,984,109.47
  5. Step 5: Solve for x
    x = 5,984,109.47/2,290.54
  6. Step 6: Final answer
    x = 2,612.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.