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Finding the Fourth Proportional to 2,354.56, 3,523.20 and 1,431.04

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Solution

The fourth proportional to 2,354.56, 3,523.20 and 1,431.04 is: 2,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.56 : 3,523.20 = 1,431.04 : x
  2. Step 2: Convert to fraction form
    2,354.56/3,523.20 = 1,431.04/x
  3. Step 3: Cross multiply
    2,354.56x = 3,523.20 × 1,431.04
  4. Step 4: Simplify right side
    2,354.56x = 5,041,840.13
  5. Step 5: Solve for x
    x = 5,041,840.13/2,354.56
  6. Step 6: Final answer
    x = 2,141.31

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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.