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Finding the Fourth Proportional to 2,032.51, 3,048.96 and 551.75

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Solution

The fourth proportional to 2,032.51, 3,048.96 and 551.75 is: 827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.51 : 3,048.96 = 551.75 : x
  2. Step 2: Convert to fraction form
    2,032.51/3,048.96 = 551.75/x
  3. Step 3: Cross multiply
    2,032.51x = 3,048.96 × 551.75
  4. Step 4: Simplify right side
    2,032.51x = 1,682,267.65
  5. Step 5: Solve for x
    x = 1,682,267.65/2,032.51
  6. Step 6: Final answer
    x = 827.68

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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.