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Finding the Fourth Proportional to 2,428.92, 3,626.64 and 2,081.70

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Solution

The fourth proportional to 2,428.92, 3,626.64 and 2,081.70 is: 3,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.92 : 3,626.64 = 2,081.70 : x
  2. Step 2: Convert to fraction form
    2,428.92/3,626.64 = 2,081.70/x
  3. Step 3: Cross multiply
    2,428.92x = 3,626.64 × 2,081.70
  4. Step 4: Simplify right side
    2,428.92x = 7,549,576.49
  5. Step 5: Solve for x
    x = 7,549,576.49/2,428.92
  6. Step 6: Final answer
    x = 3,108.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.