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Finding the Fourth Proportional to 1,641.77, 2,453.05 and 1,584.37

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Solution

The fourth proportional to 1,641.77, 2,453.05 and 1,584.37 is: 2,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.77 : 2,453.05 = 1,584.37 : x
  2. Step 2: Convert to fraction form
    1,641.77/2,453.05 = 1,584.37/x
  3. Step 3: Cross multiply
    1,641.77x = 2,453.05 × 1,584.37
  4. Step 4: Simplify right side
    1,641.77x = 3,886,538.83
  5. Step 5: Solve for x
    x = 3,886,538.83/1,641.77
  6. Step 6: Final answer
    x = 2,367.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.