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Finding the Fourth Proportional to 2,641.68, 3,643.08 and 1,696.56

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Solution

The fourth proportional to 2,641.68, 3,643.08 and 1,696.56 is: 2,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.68 : 3,643.08 = 1,696.56 : x
  2. Step 2: Convert to fraction form
    2,641.68/3,643.08 = 1,696.56/x
  3. Step 3: Cross multiply
    2,641.68x = 3,643.08 × 1,696.56
  4. Step 4: Simplify right side
    2,641.68x = 6,180,703.80
  5. Step 5: Solve for x
    x = 6,180,703.80/2,641.68
  6. Step 6: Final answer
    x = 2,339.69

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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.