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Finding the Fourth Proportional to 2,074.05, 3,109.53 and 977.85

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Solution

The fourth proportional to 2,074.05, 3,109.53 and 977.85 is: 1,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.05 : 3,109.53 = 977.85 : x
  2. Step 2: Convert to fraction form
    2,074.05/3,109.53 = 977.85/x
  3. Step 3: Cross multiply
    2,074.05x = 3,109.53 × 977.85
  4. Step 4: Simplify right side
    2,074.05x = 3,040,653.91
  5. Step 5: Solve for x
    x = 3,040,653.91/2,074.05
  6. Step 6: Final answer
    x = 1,466.05

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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.