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Finding the Fourth Proportional to 2,010.48, 3,019.38 and 1,924.38

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Solution

The fourth proportional to 2,010.48, 3,019.38 and 1,924.38 is: 2,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.48 : 3,019.38 = 1,924.38 : x
  2. Step 2: Convert to fraction form
    2,010.48/3,019.38 = 1,924.38/x
  3. Step 3: Cross multiply
    2,010.48x = 3,019.38 × 1,924.38
  4. Step 4: Simplify right side
    2,010.48x = 5,810,434.48
  5. Step 5: Solve for x
    x = 5,810,434.48/2,010.48
  6. Step 6: Final answer
    x = 2,890.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.