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Finding the Fourth Proportional to 2,093.37, 3,140.54 and 778.05

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Solution

The fourth proportional to 2,093.37, 3,140.54 and 778.05 is: 1,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.37 : 3,140.54 = 778.05 : x
  2. Step 2: Convert to fraction form
    2,093.37/3,140.54 = 778.05/x
  3. Step 3: Cross multiply
    2,093.37x = 3,140.54 × 778.05
  4. Step 4: Simplify right side
    2,093.37x = 2,443,496.17
  5. Step 5: Solve for x
    x = 2,443,496.17/2,093.37
  6. Step 6: Final answer
    x = 1,167.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.