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Finding the Fourth Proportional to 2,156.51, 3,234.69 and 617.51

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Solution

The fourth proportional to 2,156.51, 3,234.69 and 617.51 is: 926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.51 : 3,234.69 = 617.51 : x
  2. Step 2: Convert to fraction form
    2,156.51/3,234.69 = 617.51/x
  3. Step 3: Cross multiply
    2,156.51x = 3,234.69 × 617.51
  4. Step 4: Simplify right side
    2,156.51x = 1,997,453.42
  5. Step 5: Solve for x
    x = 1,997,453.42/2,156.51
  6. Step 6: Final answer
    x = 926.24

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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.