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Finding the Fourth Proportional to 2,846.69, 4,270.10 and 872.36

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Solution

The fourth proportional to 2,846.69, 4,270.10 and 872.36 is: 1,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.69 : 4,270.10 = 872.36 : x
  2. Step 2: Convert to fraction form
    2,846.69/4,270.10 = 872.36/x
  3. Step 3: Cross multiply
    2,846.69x = 4,270.10 × 872.36
  4. Step 4: Simplify right side
    2,846.69x = 3,725,038.72
  5. Step 5: Solve for x
    x = 3,725,038.72/2,846.69
  6. Step 6: Final answer
    x = 1,308.55

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