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Finding the Fourth Proportional to 2,029.70, 3,042.72 and 730.25

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Solution

The fourth proportional to 2,029.70, 3,042.72 and 730.25 is: 1,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.70 : 3,042.72 = 730.25 : x
  2. Step 2: Convert to fraction form
    2,029.70/3,042.72 = 730.25/x
  3. Step 3: Cross multiply
    2,029.70x = 3,042.72 × 730.25
  4. Step 4: Simplify right side
    2,029.70x = 2,221,942.63
  5. Step 5: Solve for x
    x = 2,221,942.63/2,029.70
  6. Step 6: Final answer
    x = 1,094.72

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1.5x scale

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.