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Finding the Fourth Proportional to 2,642.50, 3,643.33 and 1,696.63

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Solution

The fourth proportional to 2,642.50, 3,643.33 and 1,696.63 is: 2,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.50 : 3,643.33 = 1,696.63 : x
  2. Step 2: Convert to fraction form
    2,642.50/3,643.33 = 1,696.63/x
  3. Step 3: Cross multiply
    2,642.50x = 3,643.33 × 1,696.63
  4. Step 4: Simplify right side
    2,642.50x = 6,181,382.98
  5. Step 5: Solve for x
    x = 6,181,382.98/2,642.50
  6. Step 6: Final answer
    x = 2,339.22

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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.