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Finding the Fourth Proportional to 2,298.56, 3,446.04 and 1,143.68

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Solution

The fourth proportional to 2,298.56, 3,446.04 and 1,143.68 is: 1,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.56 : 3,446.04 = 1,143.68 : x
  2. Step 2: Convert to fraction form
    2,298.56/3,446.04 = 1,143.68/x
  3. Step 3: Cross multiply
    2,298.56x = 3,446.04 × 1,143.68
  4. Step 4: Simplify right side
    2,298.56x = 3,941,167.03
  5. Step 5: Solve for x
    x = 3,941,167.03/2,298.56
  6. Step 6: Final answer
    x = 1,714.62

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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.