Home / 2,089.82-2,884.03-1,205.70

Finding the Fourth Proportional to 2,089.82, 2,884.03 and 1,205.70

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Solution

The fourth proportional to 2,089.82, 2,884.03 and 1,205.70 is: 1,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.82 : 2,884.03 = 1,205.70 : x
  2. Step 2: Convert to fraction form
    2,089.82/2,884.03 = 1,205.70/x
  3. Step 3: Cross multiply
    2,089.82x = 2,884.03 × 1,205.70
  4. Step 4: Simplify right side
    2,089.82x = 3,477,271.96
  5. Step 5: Solve for x
    x = 3,477,271.96/2,089.82
  6. Step 6: Final answer
    x = 1,663.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.