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Finding the Fourth Proportional to 2,089.80, 2,883 and 1,205.16

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Solution

The fourth proportional to 2,089.80, 2,883 and 1,205.16 is: 1,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.80 : 2,883 = 1,205.16 : x
  2. Step 2: Convert to fraction form
    2,089.80/2,883 = 1,205.16/x
  3. Step 3: Cross multiply
    2,089.80x = 2,883 × 1,205.16
  4. Step 4: Simplify right side
    2,089.80x = 3,474,476.28
  5. Step 5: Solve for x
    x = 3,474,476.28/2,089.80
  6. Step 6: Final answer
    x = 1,662.59

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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.