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Finding the Fourth Proportional to 2,209.14, 3,313.70 and 670.14

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Solution

The fourth proportional to 2,209.14, 3,313.70 and 670.14 is: 1,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.14 : 3,313.70 = 670.14 : x
  2. Step 2: Convert to fraction form
    2,209.14/3,313.70 = 670.14/x
  3. Step 3: Cross multiply
    2,209.14x = 3,313.70 × 670.14
  4. Step 4: Simplify right side
    2,209.14x = 2,220,639.57
  5. Step 5: Solve for x
    x = 2,220,639.57/2,209.14
  6. Step 6: Final answer
    x = 1,005.21

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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.