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Finding the Fourth Proportional to 2,804.65, 4,207.13 and 1,244.28

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Solution

The fourth proportional to 2,804.65, 4,207.13 and 1,244.28 is: 1,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.65 : 4,207.13 = 1,244.28 : x
  2. Step 2: Convert to fraction form
    2,804.65/4,207.13 = 1,244.28/x
  3. Step 3: Cross multiply
    2,804.65x = 4,207.13 × 1,244.28
  4. Step 4: Simplify right side
    2,804.65x = 5,234,861.94
  5. Step 5: Solve for x
    x = 5,234,861.94/2,804.65
  6. Step 6: Final answer
    x = 1,866.50

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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.