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Finding the Fourth Proportional to 2,048.06, 3,072.09 and 587.22

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Solution

The fourth proportional to 2,048.06, 3,072.09 and 587.22 is: 880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.06 : 3,072.09 = 587.22 : x
  2. Step 2: Convert to fraction form
    2,048.06/3,072.09 = 587.22/x
  3. Step 3: Cross multiply
    2,048.06x = 3,072.09 × 587.22
  4. Step 4: Simplify right side
    2,048.06x = 1,803,977.65
  5. Step 5: Solve for x
    x = 1,803,977.65/2,048.06
  6. Step 6: Final answer
    x = 880.82

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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.