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Finding the Fourth Proportional to 2,467.34, 3,702.36 and 1,006.37

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Solution

The fourth proportional to 2,467.34, 3,702.36 and 1,006.37 is: 1,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.34 : 3,702.36 = 1,006.37 : x
  2. Step 2: Convert to fraction form
    2,467.34/3,702.36 = 1,006.37/x
  3. Step 3: Cross multiply
    2,467.34x = 3,702.36 × 1,006.37
  4. Step 4: Simplify right side
    2,467.34x = 3,725,944.03
  5. Step 5: Solve for x
    x = 3,725,944.03/2,467.34
  6. Step 6: Final answer
    x = 1,510.11

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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.