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Finding the Fourth Proportional to 2,346.56, 3,520.20 and 2,054.96

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Solution

The fourth proportional to 2,346.56, 3,520.20 and 2,054.96 is: 3,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.56 : 3,520.20 = 2,054.96 : x
  2. Step 2: Convert to fraction form
    2,346.56/3,520.20 = 2,054.96/x
  3. Step 3: Cross multiply
    2,346.56x = 3,520.20 × 2,054.96
  4. Step 4: Simplify right side
    2,346.56x = 7,233,870.19
  5. Step 5: Solve for x
    x = 7,233,870.19/2,346.56
  6. Step 6: Final answer
    x = 3,082.76

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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.