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Finding the Fourth Proportional to 2,950.19, 4,069.57 and 1,770.58

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Solution

The fourth proportional to 2,950.19, 4,069.57 and 1,770.58 is: 2,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.19 : 4,069.57 = 1,770.58 : x
  2. Step 2: Convert to fraction form
    2,950.19/4,069.57 = 1,770.58/x
  3. Step 3: Cross multiply
    2,950.19x = 4,069.57 × 1,770.58
  4. Step 4: Simplify right side
    2,950.19x = 7,205,499.25
  5. Step 5: Solve for x
    x = 7,205,499.25/2,950.19
  6. Step 6: Final answer
    x = 2,442.38

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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.