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Finding the Fourth Proportional to 2,030.11, 3,045.41 and 1,919.39

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Solution

The fourth proportional to 2,030.11, 3,045.41 and 1,919.39 is: 2,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.11 : 3,045.41 = 1,919.39 : x
  2. Step 2: Convert to fraction form
    2,030.11/3,045.41 = 1,919.39/x
  3. Step 3: Cross multiply
    2,030.11x = 3,045.41 × 1,919.39
  4. Step 4: Simplify right side
    2,030.11x = 5,845,329.50
  5. Step 5: Solve for x
    x = 5,845,329.50/2,030.11
  6. Step 6: Final answer
    x = 2,879.32

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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.