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Finding the Fourth Proportional to 2,375.46, 3,278.34 and 1,313.46

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Solution

The fourth proportional to 2,375.46, 3,278.34 and 1,313.46 is: 1,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.46 : 3,278.34 = 1,313.46 : x
  2. Step 2: Convert to fraction form
    2,375.46/3,278.34 = 1,313.46/x
  3. Step 3: Cross multiply
    2,375.46x = 3,278.34 × 1,313.46
  4. Step 4: Simplify right side
    2,375.46x = 4,305,968.46
  5. Step 5: Solve for x
    x = 4,305,968.46/2,375.46
  6. Step 6: Final answer
    x = 1,812.69

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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.