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Finding the Fourth Proportional to 1,902.26, 2,853.73 and 670.39

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Solution

The fourth proportional to 1,902.26, 2,853.73 and 670.39 is: 1,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.26 : 2,853.73 = 670.39 : x
  2. Step 2: Convert to fraction form
    1,902.26/2,853.73 = 670.39/x
  3. Step 3: Cross multiply
    1,902.26x = 2,853.73 × 670.39
  4. Step 4: Simplify right side
    1,902.26x = 1,913,103.24
  5. Step 5: Solve for x
    x = 1,913,103.24/1,902.26
  6. Step 6: Final answer
    x = 1,005.70

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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.