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Finding the Fourth Proportional to 2,653.59, 3,661.22 and 1,590.69

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Solution

The fourth proportional to 2,653.59, 3,661.22 and 1,590.69 is: 2,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.59 : 3,661.22 = 1,590.69 : x
  2. Step 2: Convert to fraction form
    2,653.59/3,661.22 = 1,590.69/x
  3. Step 3: Cross multiply
    2,653.59x = 3,661.22 × 1,590.69
  4. Step 4: Simplify right side
    2,653.59x = 5,823,858.09
  5. Step 5: Solve for x
    x = 5,823,858.09/2,653.59
  6. Step 6: Final answer
    x = 2,194.71

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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.