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Finding the Fourth Proportional to 2,313.34, 3,469.65 and 852.17

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Solution

The fourth proportional to 2,313.34, 3,469.65 and 852.17 is: 1,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.34 : 3,469.65 = 852.17 : x
  2. Step 2: Convert to fraction form
    2,313.34/3,469.65 = 852.17/x
  3. Step 3: Cross multiply
    2,313.34x = 3,469.65 × 852.17
  4. Step 4: Simplify right side
    2,313.34x = 2,956,731.64
  5. Step 5: Solve for x
    x = 2,956,731.64/2,313.34
  6. Step 6: Final answer
    x = 1,278.12

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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.