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Finding the Fourth Proportional to 2,038.86, 3,053.52 and 1,489.68

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Solution

The fourth proportional to 2,038.86, 3,053.52 and 1,489.68 is: 2,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.86 : 3,053.52 = 1,489.68 : x
  2. Step 2: Convert to fraction form
    2,038.86/3,053.52 = 1,489.68/x
  3. Step 3: Cross multiply
    2,038.86x = 3,053.52 × 1,489.68
  4. Step 4: Simplify right side
    2,038.86x = 4,548,767.67
  5. Step 5: Solve for x
    x = 4,548,767.67/2,038.86
  6. Step 6: Final answer
    x = 2,231.03

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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.