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Finding the Fourth Proportional to 3,007.44, 4,507.56 and 1,709.76

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Solution

The fourth proportional to 3,007.44, 4,507.56 and 1,709.76 is: 2,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.44 : 4,507.56 = 1,709.76 : x
  2. Step 2: Convert to fraction form
    3,007.44/4,507.56 = 1,709.76/x
  3. Step 3: Cross multiply
    3,007.44x = 4,507.56 × 1,709.76
  4. Step 4: Simplify right side
    3,007.44x = 7,706,845.79
  5. Step 5: Solve for x
    x = 7,706,845.79/3,007.44
  6. Step 6: Final answer
    x = 2,562.59

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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.