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Finding the Fourth Proportional to 2,961.70, 4,442.55 and 2,605.30

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Solution

The fourth proportional to 2,961.70, 4,442.55 and 2,605.30 is: 3,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.70 : 4,442.55 = 2,605.30 : x
  2. Step 2: Convert to fraction form
    2,961.70/4,442.55 = 2,605.30/x
  3. Step 3: Cross multiply
    2,961.70x = 4,442.55 × 2,605.30
  4. Step 4: Simplify right side
    2,961.70x = 11,574,175.52
  5. Step 5: Solve for x
    x = 11,574,175.52/2,961.70
  6. Step 6: Final answer
    x = 3,907.95

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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.