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Finding the Fourth Proportional to 3,355.74, 4,633.23 and 2,097.36

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Solution

The fourth proportional to 3,355.74, 4,633.23 and 2,097.36 is: 2,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.74 : 4,633.23 = 2,097.36 : x
  2. Step 2: Convert to fraction form
    3,355.74/4,633.23 = 2,097.36/x
  3. Step 3: Cross multiply
    3,355.74x = 4,633.23 × 2,097.36
  4. Step 4: Simplify right side
    3,355.74x = 9,717,531.52
  5. Step 5: Solve for x
    x = 9,717,531.52/3,355.74
  6. Step 6: Final answer
    x = 2,895.80

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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.