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Finding the Fourth Proportional to 2,956.30, 4,433.04 and 1,724.06

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Solution

The fourth proportional to 2,956.30, 4,433.04 and 1,724.06 is: 2,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.30 : 4,433.04 = 1,724.06 : x
  2. Step 2: Convert to fraction form
    2,956.30/4,433.04 = 1,724.06/x
  3. Step 3: Cross multiply
    2,956.30x = 4,433.04 × 1,724.06
  4. Step 4: Simplify right side
    2,956.30x = 7,642,826.94
  5. Step 5: Solve for x
    x = 7,642,826.94/2,956.30
  6. Step 6: Final answer
    x = 2,585.27

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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.