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Finding the Fourth Proportional to 2,846.65, 4,265.29 and 1,748.70

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Solution

The fourth proportional to 2,846.65, 4,265.29 and 1,748.70 is: 2,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.65 : 4,265.29 = 1,748.70 : x
  2. Step 2: Convert to fraction form
    2,846.65/4,265.29 = 1,748.70/x
  3. Step 3: Cross multiply
    2,846.65x = 4,265.29 × 1,748.70
  4. Step 4: Simplify right side
    2,846.65x = 7,458,712.62
  5. Step 5: Solve for x
    x = 7,458,712.62/2,846.65
  6. Step 6: Final answer
    x = 2,620.17

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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.