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Finding the Fourth Proportional to 2,094.51, 2,882.74 and 1,534.09

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Solution

The fourth proportional to 2,094.51, 2,882.74 and 1,534.09 is: 2,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.51 : 2,882.74 = 1,534.09 : x
  2. Step 2: Convert to fraction form
    2,094.51/2,882.74 = 1,534.09/x
  3. Step 3: Cross multiply
    2,094.51x = 2,882.74 × 1,534.09
  4. Step 4: Simplify right side
    2,094.51x = 4,422,379.85
  5. Step 5: Solve for x
    x = 4,422,379.85/2,094.51
  6. Step 6: Final answer
    x = 2,111.42

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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.