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Finding the Fourth Proportional to 2,467.17, 3,699.61 and 906.77

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Solution

The fourth proportional to 2,467.17, 3,699.61 and 906.77 is: 1,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.17 : 3,699.61 = 906.77 : x
  2. Step 2: Convert to fraction form
    2,467.17/3,699.61 = 906.77/x
  3. Step 3: Cross multiply
    2,467.17x = 3,699.61 × 906.77
  4. Step 4: Simplify right side
    2,467.17x = 3,354,702.34
  5. Step 5: Solve for x
    x = 3,354,702.34/2,467.17
  6. Step 6: Final answer
    x = 1,359.74

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Why These Related Problems?

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