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Finding the Fourth Proportional to 3,030.80, 4,546.42 and 839.70

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Solution

The fourth proportional to 3,030.80, 4,546.42 and 839.70 is: 1,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.80 : 4,546.42 = 839.70 : x
  2. Step 2: Convert to fraction form
    3,030.80/4,546.42 = 839.70/x
  3. Step 3: Cross multiply
    3,030.80x = 4,546.42 × 839.70
  4. Step 4: Simplify right side
    3,030.80x = 3,817,626.77
  5. Step 5: Solve for x
    x = 3,817,626.77/3,030.80
  6. Step 6: Final answer
    x = 1,259.61

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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.