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Finding the Fourth Proportional to 2,048.48, 3,072.09 and 567.34

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Solution

The fourth proportional to 2,048.48, 3,072.09 and 567.34 is: 850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.48 : 3,072.09 = 567.34 : x
  2. Step 2: Convert to fraction form
    2,048.48/3,072.09 = 567.34/x
  3. Step 3: Cross multiply
    2,048.48x = 3,072.09 × 567.34
  4. Step 4: Simplify right side
    2,048.48x = 1,742,917.53
  5. Step 5: Solve for x
    x = 1,742,917.53/2,048.48
  6. Step 6: Final answer
    x = 850.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.