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Finding the Fourth Proportional to 2,423.32, 3,626.74 and 2,033.76

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Solution

The fourth proportional to 2,423.32, 3,626.74 and 2,033.76 is: 3,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.32 : 3,626.74 = 2,033.76 : x
  2. Step 2: Convert to fraction form
    2,423.32/3,626.74 = 2,033.76/x
  3. Step 3: Cross multiply
    2,423.32x = 3,626.74 × 2,033.76
  4. Step 4: Simplify right side
    2,423.32x = 7,375,918.74
  5. Step 5: Solve for x
    x = 7,375,918.74/2,423.32
  6. Step 6: Final answer
    x = 3,043.72

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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.