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Finding the Fourth Proportional to 2,641.21, 3,643.83 and 1,696.86

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Solution

The fourth proportional to 2,641.21, 3,643.83 and 1,696.86 is: 2,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.21 : 3,643.83 = 1,696.86 : x
  2. Step 2: Convert to fraction form
    2,641.21/3,643.83 = 1,696.86/x
  3. Step 3: Cross multiply
    2,641.21x = 3,643.83 × 1,696.86
  4. Step 4: Simplify right side
    2,641.21x = 6,183,069.37
  5. Step 5: Solve for x
    x = 6,183,069.37/2,641.21
  6. Step 6: Final answer
    x = 2,341.00

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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.