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Finding the Fourth Proportional to 2,249.83, 3,107.55 and 1,589.63

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Solution

The fourth proportional to 2,249.83, 3,107.55 and 1,589.63 is: 2,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.83 : 3,107.55 = 1,589.63 : x
  2. Step 2: Convert to fraction form
    2,249.83/3,107.55 = 1,589.63/x
  3. Step 3: Cross multiply
    2,249.83x = 3,107.55 × 1,589.63
  4. Step 4: Simplify right side
    2,249.83x = 4,939,854.71
  5. Step 5: Solve for x
    x = 4,939,854.71/2,249.83
  6. Step 6: Final answer
    x = 2,195.66

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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.