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Finding the Fourth Proportional to 2,013.36, 3,017.91 and 843.06

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Solution

The fourth proportional to 2,013.36, 3,017.91 and 843.06 is: 1,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.36 : 3,017.91 = 843.06 : x
  2. Step 2: Convert to fraction form
    2,013.36/3,017.91 = 843.06/x
  3. Step 3: Cross multiply
    2,013.36x = 3,017.91 × 843.06
  4. Step 4: Simplify right side
    2,013.36x = 2,544,279.20
  5. Step 5: Solve for x
    x = 2,544,279.20/2,013.36
  6. Step 6: Final answer
    x = 1,263.70

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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.