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Finding the Fourth Proportional to 2,291.54, 3,420.73 and 2,120.34

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Solution

The fourth proportional to 2,291.54, 3,420.73 and 2,120.34 is: 3,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.54 : 3,420.73 = 2,120.34 : x
  2. Step 2: Convert to fraction form
    2,291.54/3,420.73 = 2,120.34/x
  3. Step 3: Cross multiply
    2,291.54x = 3,420.73 × 2,120.34
  4. Step 4: Simplify right side
    2,291.54x = 7,253,126.13
  5. Step 5: Solve for x
    x = 7,253,126.13/2,291.54
  6. Step 6: Final answer
    x = 3,165.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.