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Finding the Fourth Proportional to 2,907.72, 4,361.64 and 1,057.68

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Solution

The fourth proportional to 2,907.72, 4,361.64 and 1,057.68 is: 1,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.72 : 4,361.64 = 1,057.68 : x
  2. Step 2: Convert to fraction form
    2,907.72/4,361.64 = 1,057.68/x
  3. Step 3: Cross multiply
    2,907.72x = 4,361.64 × 1,057.68
  4. Step 4: Simplify right side
    2,907.72x = 4,613,219.40
  5. Step 5: Solve for x
    x = 4,613,219.40/2,907.72
  6. Step 6: Final answer
    x = 1,586.54

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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.