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Finding the Fourth Proportional to 2,466.98, 3,702.44 and 1,297.67

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Solution

The fourth proportional to 2,466.98, 3,702.44 and 1,297.67 is: 1,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.98 : 3,702.44 = 1,297.67 : x
  2. Step 2: Convert to fraction form
    2,466.98/3,702.44 = 1,297.67/x
  3. Step 3: Cross multiply
    2,466.98x = 3,702.44 × 1,297.67
  4. Step 4: Simplify right side
    2,466.98x = 4,804,545.31
  5. Step 5: Solve for x
    x = 4,804,545.31/2,466.98
  6. Step 6: Final answer
    x = 1,947.54

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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.