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Finding the Fourth Proportional to 2,559.70, 3,841.83 and 1,950.99

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Solution

The fourth proportional to 2,559.70, 3,841.83 and 1,950.99 is: 2,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.70 : 3,841.83 = 1,950.99 : x
  2. Step 2: Convert to fraction form
    2,559.70/3,841.83 = 1,950.99/x
  3. Step 3: Cross multiply
    2,559.70x = 3,841.83 × 1,950.99
  4. Step 4: Simplify right side
    2,559.70x = 7,495,357.50
  5. Step 5: Solve for x
    x = 7,495,357.50/2,559.70
  6. Step 6: Final answer
    x = 2,928.22

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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.