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Finding the Fourth Proportional to 3,030.19, 4,544.77 and 839.14

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Solution

The fourth proportional to 3,030.19, 4,544.77 and 839.14 is: 1,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.19 : 4,544.77 = 839.14 : x
  2. Step 2: Convert to fraction form
    3,030.19/4,544.77 = 839.14/x
  3. Step 3: Cross multiply
    3,030.19x = 4,544.77 × 839.14
  4. Step 4: Simplify right side
    3,030.19x = 3,813,676.62
  5. Step 5: Solve for x
    x = 3,813,676.62/3,030.19
  6. Step 6: Final answer
    x = 1,258.56

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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.