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Finding the Fourth Proportional to 3,046.20, 4,570.06 and 1,266.88

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Solution

The fourth proportional to 3,046.20, 4,570.06 and 1,266.88 is: 1,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.20 : 4,570.06 = 1,266.88 : x
  2. Step 2: Convert to fraction form
    3,046.20/4,570.06 = 1,266.88/x
  3. Step 3: Cross multiply
    3,046.20x = 4,570.06 × 1,266.88
  4. Step 4: Simplify right side
    3,046.20x = 5,789,717.61
  5. Step 5: Solve for x
    x = 5,789,717.61/3,046.20
  6. Step 6: Final answer
    x = 1,900.64

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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.