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Finding the Fourth Proportional to 2,325.39, 3,486.56 and 844.33

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Solution

The fourth proportional to 2,325.39, 3,486.56 and 844.33 is: 1,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.39 : 3,486.56 = 844.33 : x
  2. Step 2: Convert to fraction form
    2,325.39/3,486.56 = 844.33/x
  3. Step 3: Cross multiply
    2,325.39x = 3,486.56 × 844.33
  4. Step 4: Simplify right side
    2,325.39x = 2,943,802.98
  5. Step 5: Solve for x
    x = 2,943,802.98/2,325.39
  6. Step 6: Final answer
    x = 1,265.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.