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Finding the Fourth Proportional to 3,000, 4,139.73 and 1,880.58

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Solution

The fourth proportional to 3,000, 4,139.73 and 1,880.58 is: 2,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 4,139.73 = 1,880.58 : x
  2. Step 2: Convert to fraction form
    3,000/4,139.73 = 1,880.58/x
  3. Step 3: Cross multiply
    3,000x = 4,139.73 × 1,880.58
  4. Step 4: Simplify right side
    3,000x = 7,785,093.44
  5. Step 5: Solve for x
    x = 7,785,093.44/3,000
  6. Step 6: Final answer
    x = 2,595.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.