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Finding the Fourth Proportional to 1,930.06, 2,891.85 and 1,544.50

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Solution

The fourth proportional to 1,930.06, 2,891.85 and 1,544.50 is: 2,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.06 : 2,891.85 = 1,544.50 : x
  2. Step 2: Convert to fraction form
    1,930.06/2,891.85 = 1,544.50/x
  3. Step 3: Cross multiply
    1,930.06x = 2,891.85 × 1,544.50
  4. Step 4: Simplify right side
    1,930.06x = 4,466,462.33
  5. Step 5: Solve for x
    x = 4,466,462.33/1,930.06
  6. Step 6: Final answer
    x = 2,314.16

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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.