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Finding the Fourth Proportional to 2,325.98, 3,487.82 and 845.14

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Solution

The fourth proportional to 2,325.98, 3,487.82 and 845.14 is: 1,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.98 : 3,487.82 = 845.14 : x
  2. Step 2: Convert to fraction form
    2,325.98/3,487.82 = 845.14/x
  3. Step 3: Cross multiply
    2,325.98x = 3,487.82 × 845.14
  4. Step 4: Simplify right side
    2,325.98x = 2,947,696.19
  5. Step 5: Solve for x
    x = 2,947,696.19/2,325.98
  6. Step 6: Final answer
    x = 1,267.29

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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.