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Finding the Fourth Proportional to 3,042.68, 4,563.90 and 851.52

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Solution

The fourth proportional to 3,042.68, 4,563.90 and 851.52 is: 1,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.68 : 4,563.90 = 851.52 : x
  2. Step 2: Convert to fraction form
    3,042.68/4,563.90 = 851.52/x
  3. Step 3: Cross multiply
    3,042.68x = 4,563.90 × 851.52
  4. Step 4: Simplify right side
    3,042.68x = 3,886,252.13
  5. Step 5: Solve for x
    x = 3,886,252.13/3,042.68
  6. Step 6: Final answer
    x = 1,277.25

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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.