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Finding the Fourth Proportional to 2,866.30, 4,300.80 and 2,137.30

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Solution

The fourth proportional to 2,866.30, 4,300.80 and 2,137.30 is: 3,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.30 : 4,300.80 = 2,137.30 : x
  2. Step 2: Convert to fraction form
    2,866.30/4,300.80 = 2,137.30/x
  3. Step 3: Cross multiply
    2,866.30x = 4,300.80 × 2,137.30
  4. Step 4: Simplify right side
    2,866.30x = 9,192,099.84
  5. Step 5: Solve for x
    x = 9,192,099.84/2,866.30
  6. Step 6: Final answer
    x = 3,206.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.