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Finding the Fourth Proportional to 1,985.94, 2,738.26 and 1,611.74

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Solution

The fourth proportional to 1,985.94, 2,738.26 and 1,611.74 is: 2,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.94 : 2,738.26 = 1,611.74 : x
  2. Step 2: Convert to fraction form
    1,985.94/2,738.26 = 1,611.74/x
  3. Step 3: Cross multiply
    1,985.94x = 2,738.26 × 1,611.74
  4. Step 4: Simplify right side
    1,985.94x = 4,413,363.17
  5. Step 5: Solve for x
    x = 4,413,363.17/1,985.94
  6. Step 6: Final answer
    x = 2,222.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.