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Finding the Fourth Proportional to 2,093.86, 3,140.78 and 860.40

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Solution

The fourth proportional to 2,093.86, 3,140.78 and 860.40 is: 1,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.86 : 3,140.78 = 860.40 : x
  2. Step 2: Convert to fraction form
    2,093.86/3,140.78 = 860.40/x
  3. Step 3: Cross multiply
    2,093.86x = 3,140.78 × 860.40
  4. Step 4: Simplify right side
    2,093.86x = 2,702,327.11
  5. Step 5: Solve for x
    x = 2,702,327.11/2,093.86
  6. Step 6: Final answer
    x = 1,290.60

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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.