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Finding the Fourth Proportional to 2,642.67, 3,643.56 and 1,696.78

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Solution

The fourth proportional to 2,642.67, 3,643.56 and 1,696.78 is: 2,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.67 : 3,643.56 = 1,696.78 : x
  2. Step 2: Convert to fraction form
    2,642.67/3,643.56 = 1,696.78/x
  3. Step 3: Cross multiply
    2,642.67x = 3,643.56 × 1,696.78
  4. Step 4: Simplify right side
    2,642.67x = 6,182,319.74
  5. Step 5: Solve for x
    x = 6,182,319.74/2,642.67
  6. Step 6: Final answer
    x = 2,339.42

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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.