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Finding the Fourth Proportional to 2,099.62, 2,898.84 and 1,626.64

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Solution

The fourth proportional to 2,099.62, 2,898.84 and 1,626.64 is: 2,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.62 : 2,898.84 = 1,626.64 : x
  2. Step 2: Convert to fraction form
    2,099.62/2,898.84 = 1,626.64/x
  3. Step 3: Cross multiply
    2,099.62x = 2,898.84 × 1,626.64
  4. Step 4: Simplify right side
    2,099.62x = 4,715,369.10
  5. Step 5: Solve for x
    x = 4,715,369.10/2,099.62
  6. Step 6: Final answer
    x = 2,245.82

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1.5x scale

Why These Related Problems?

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