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Finding the Fourth Proportional to 2,073.37, 3,111.14 and 775.75

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Solution

The fourth proportional to 2,073.37, 3,111.14 and 775.75 is: 1,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.37 : 3,111.14 = 775.75 : x
  2. Step 2: Convert to fraction form
    2,073.37/3,111.14 = 775.75/x
  3. Step 3: Cross multiply
    2,073.37x = 3,111.14 × 775.75
  4. Step 4: Simplify right side
    2,073.37x = 2,413,466.86
  5. Step 5: Solve for x
    x = 2,413,466.86/2,073.37
  6. Step 6: Final answer
    x = 1,164.03

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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.