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Finding the Fourth Proportional to 3,042.54, 4,564.10 and 851.23

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Solution

The fourth proportional to 3,042.54, 4,564.10 and 851.23 is: 1,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.54 : 4,564.10 = 851.23 : x
  2. Step 2: Convert to fraction form
    3,042.54/4,564.10 = 851.23/x
  3. Step 3: Cross multiply
    3,042.54x = 4,564.10 × 851.23
  4. Step 4: Simplify right side
    3,042.54x = 3,885,098.84
  5. Step 5: Solve for x
    x = 3,885,098.84/3,042.54
  6. Step 6: Final answer
    x = 1,276.93

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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.