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Finding the Fourth Proportional to 1,611, 2,411.82 and 1,147.32

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Solution

The fourth proportional to 1,611, 2,411.82 and 1,147.32 is: 1,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611 : 2,411.82 = 1,147.32 : x
  2. Step 2: Convert to fraction form
    1,611/2,411.82 = 1,147.32/x
  3. Step 3: Cross multiply
    1,611x = 2,411.82 × 1,147.32
  4. Step 4: Simplify right side
    1,611x = 2,767,129.32
  5. Step 5: Solve for x
    x = 2,767,129.32/1,611
  6. Step 6: Final answer
    x = 1,717.65

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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.