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Finding the Fourth Proportional to 2,004.97, 3,007.90 and 909.64

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Solution

The fourth proportional to 2,004.97, 3,007.90 and 909.64 is: 1,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.97 : 3,007.90 = 909.64 : x
  2. Step 2: Convert to fraction form
    2,004.97/3,007.90 = 909.64/x
  3. Step 3: Cross multiply
    2,004.97x = 3,007.90 × 909.64
  4. Step 4: Simplify right side
    2,004.97x = 2,736,115.95
  5. Step 5: Solve for x
    x = 2,736,115.95/2,004.97
  6. Step 6: Final answer
    x = 1,364.67

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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.