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Finding the Fourth Proportional to 2,078.46, 3,119.04 and 909.09

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Solution

The fourth proportional to 2,078.46, 3,119.04 and 909.09 is: 1,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.46 : 3,119.04 = 909.09 : x
  2. Step 2: Convert to fraction form
    2,078.46/3,119.04 = 909.09/x
  3. Step 3: Cross multiply
    2,078.46x = 3,119.04 × 909.09
  4. Step 4: Simplify right side
    2,078.46x = 2,835,488.07
  5. Step 5: Solve for x
    x = 2,835,488.07/2,078.46
  6. Step 6: Final answer
    x = 1,364.23

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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.