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Finding the Fourth Proportional to 1,893.04, 2,611.74 and 1,107.04

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Solution

The fourth proportional to 1,893.04, 2,611.74 and 1,107.04 is: 1,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.04 : 2,611.74 = 1,107.04 : x
  2. Step 2: Convert to fraction form
    1,893.04/2,611.74 = 1,107.04/x
  3. Step 3: Cross multiply
    1,893.04x = 2,611.74 × 1,107.04
  4. Step 4: Simplify right side
    1,893.04x = 2,891,300.65
  5. Step 5: Solve for x
    x = 2,891,300.65/1,893.04
  6. Step 6: Final answer
    x = 1,527.33

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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.