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Finding the Fourth Proportional to 2,846, 4,270.80 and 1,307.04

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Solution

The fourth proportional to 2,846, 4,270.80 and 1,307.04 is: 1,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846 : 4,270.80 = 1,307.04 : x
  2. Step 2: Convert to fraction form
    2,846/4,270.80 = 1,307.04/x
  3. Step 3: Cross multiply
    2,846x = 4,270.80 × 1,307.04
  4. Step 4: Simplify right side
    2,846x = 5,582,106.43
  5. Step 5: Solve for x
    x = 5,582,106.43/2,846
  6. Step 6: Final answer
    x = 1,961.39

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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.