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Finding the Fourth Proportional to 2,074.73, 2,865.93 and 1,927.11

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Solution

The fourth proportional to 2,074.73, 2,865.93 and 1,927.11 is: 2,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.73 : 2,865.93 = 1,927.11 : x
  2. Step 2: Convert to fraction form
    2,074.73/2,865.93 = 1,927.11/x
  3. Step 3: Cross multiply
    2,074.73x = 2,865.93 × 1,927.11
  4. Step 4: Simplify right side
    2,074.73x = 5,522,962.36
  5. Step 5: Solve for x
    x = 5,522,962.36/2,074.73
  6. Step 6: Final answer
    x = 2,662.01

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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.