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Finding the Fourth Proportional to 2,641.77, 3,646.82 and 1,685.09

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Solution

The fourth proportional to 2,641.77, 3,646.82 and 1,685.09 is: 2,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.77 : 3,646.82 = 1,685.09 : x
  2. Step 2: Convert to fraction form
    2,641.77/3,646.82 = 1,685.09/x
  3. Step 3: Cross multiply
    2,641.77x = 3,646.82 × 1,685.09
  4. Step 4: Simplify right side
    2,641.77x = 6,145,193.25
  5. Step 5: Solve for x
    x = 6,145,193.25/2,641.77
  6. Step 6: Final answer
    x = 2,326.17

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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.