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Finding the Fourth Proportional to 1,223.03, 1,825.00 and 1,195.09

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Solution

The fourth proportional to 1,223.03, 1,825.00 and 1,195.09 is: 1,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.03 : 1,825.00 = 1,195.09 : x
  2. Step 2: Convert to fraction form
    1,223.03/1,825.00 = 1,195.09/x
  3. Step 3: Cross multiply
    1,223.03x = 1,825.00 × 1,195.09
  4. Step 4: Simplify right side
    1,223.03x = 2,181,031.70
  5. Step 5: Solve for x
    x = 2,181,031.70/1,223.03
  6. Step 6: Final answer
    x = 1,783.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.