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Finding the Fourth Proportional to 2,337.70, 3,226.17 and 1,343.13

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Solution

The fourth proportional to 2,337.70, 3,226.17 and 1,343.13 is: 1,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.70 : 3,226.17 = 1,343.13 : x
  2. Step 2: Convert to fraction form
    2,337.70/3,226.17 = 1,343.13/x
  3. Step 3: Cross multiply
    2,337.70x = 3,226.17 × 1,343.13
  4. Step 4: Simplify right side
    2,337.70x = 4,333,146.94
  5. Step 5: Solve for x
    x = 4,333,146.94/2,337.70
  6. Step 6: Final answer
    x = 1,853.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.