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Finding the Fourth Proportional to 2,093.24, 3,139.74 and 860.34

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Solution

The fourth proportional to 2,093.24, 3,139.74 and 860.34 is: 1,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.24 : 3,139.74 = 860.34 : x
  2. Step 2: Convert to fraction form
    2,093.24/3,139.74 = 860.34/x
  3. Step 3: Cross multiply
    2,093.24x = 3,139.74 × 860.34
  4. Step 4: Simplify right side
    2,093.24x = 2,701,243.91
  5. Step 5: Solve for x
    x = 2,701,243.91/2,093.24
  6. Step 6: Final answer
    x = 1,290.46

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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.