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Finding the Fourth Proportional to 2,094.78, 3,139.50 and 860.78

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Solution

The fourth proportional to 2,094.78, 3,139.50 and 860.78 is: 1,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.78 : 3,139.50 = 860.78 : x
  2. Step 2: Convert to fraction form
    2,094.78/3,139.50 = 860.78/x
  3. Step 3: Cross multiply
    2,094.78x = 3,139.50 × 860.78
  4. Step 4: Simplify right side
    2,094.78x = 2,702,418.81
  5. Step 5: Solve for x
    x = 2,702,418.81/2,094.78
  6. Step 6: Final answer
    x = 1,290.07

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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.