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Finding the Fourth Proportional to 3,044.51, 4,566.30 and 852.75

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Solution

The fourth proportional to 3,044.51, 4,566.30 and 852.75 is: 1,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.51 : 4,566.30 = 852.75 : x
  2. Step 2: Convert to fraction form
    3,044.51/4,566.30 = 852.75/x
  3. Step 3: Cross multiply
    3,044.51x = 4,566.30 × 852.75
  4. Step 4: Simplify right side
    3,044.51x = 3,893,912.33
  5. Step 5: Solve for x
    x = 3,893,912.33/3,044.51
  6. Step 6: Final answer
    x = 1,279.00

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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.