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Finding the Fourth Proportional to 2,919.57, 4,030.50 and 1,980.33

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Solution

The fourth proportional to 2,919.57, 4,030.50 and 1,980.33 is: 2,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.57 : 4,030.50 = 1,980.33 : x
  2. Step 2: Convert to fraction form
    2,919.57/4,030.50 = 1,980.33/x
  3. Step 3: Cross multiply
    2,919.57x = 4,030.50 × 1,980.33
  4. Step 4: Simplify right side
    2,919.57x = 7,981,720.07
  5. Step 5: Solve for x
    x = 7,981,720.07/2,919.57
  6. Step 6: Final answer
    x = 2,733.87

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