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Finding the Fourth Proportional to 2,174.08, 3,259.67 and 787.23

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Solution

The fourth proportional to 2,174.08, 3,259.67 and 787.23 is: 1,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.08 : 3,259.67 = 787.23 : x
  2. Step 2: Convert to fraction form
    2,174.08/3,259.67 = 787.23/x
  3. Step 3: Cross multiply
    2,174.08x = 3,259.67 × 787.23
  4. Step 4: Simplify right side
    2,174.08x = 2,566,111.98
  5. Step 5: Solve for x
    x = 2,566,111.98/2,174.08
  6. Step 6: Final answer
    x = 1,180.32

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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.