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Finding the Fourth Proportional to 2,872.65, 4,303.86 and 1,203.09

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Solution

The fourth proportional to 2,872.65, 4,303.86 and 1,203.09 is: 1,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.65 : 4,303.86 = 1,203.09 : x
  2. Step 2: Convert to fraction form
    2,872.65/4,303.86 = 1,203.09/x
  3. Step 3: Cross multiply
    2,872.65x = 4,303.86 × 1,203.09
  4. Step 4: Simplify right side
    2,872.65x = 5,177,930.93
  5. Step 5: Solve for x
    x = 5,177,930.93/2,872.65
  6. Step 6: Final answer
    x = 1,802.49

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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.