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Finding the Fourth Proportional to 1,926.99, 2,653.56 and 1,611.70

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Solution

The fourth proportional to 1,926.99, 2,653.56 and 1,611.70 is: 2,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.99 : 2,653.56 = 1,611.70 : x
  2. Step 2: Convert to fraction form
    1,926.99/2,653.56 = 1,611.70/x
  3. Step 3: Cross multiply
    1,926.99x = 2,653.56 × 1,611.70
  4. Step 4: Simplify right side
    1,926.99x = 4,276,736.02
  5. Step 5: Solve for x
    x = 4,276,736.02/1,926.99
  6. Step 6: Final answer
    x = 2,219.39

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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.