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Finding the Fourth Proportional to 2,835.44, 4,244.16 and 2,052.80

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Solution

The fourth proportional to 2,835.44, 4,244.16 and 2,052.80 is: 3,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.44 : 4,244.16 = 2,052.80 : x
  2. Step 2: Convert to fraction form
    2,835.44/4,244.16 = 2,052.80/x
  3. Step 3: Cross multiply
    2,835.44x = 4,244.16 × 2,052.80
  4. Step 4: Simplify right side
    2,835.44x = 8,712,411.65
  5. Step 5: Solve for x
    x = 8,712,411.65/2,835.44
  6. Step 6: Final answer
    x = 3,072.68

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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.