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Finding the Fourth Proportional to 3,057.93, 4,585.91 and 1,576.68

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Solution

The fourth proportional to 3,057.93, 4,585.91 and 1,576.68 is: 2,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.93 : 4,585.91 = 1,576.68 : x
  2. Step 2: Convert to fraction form
    3,057.93/4,585.91 = 1,576.68/x
  3. Step 3: Cross multiply
    3,057.93x = 4,585.91 × 1,576.68
  4. Step 4: Simplify right side
    3,057.93x = 7,230,504.70
  5. Step 5: Solve for x
    x = 7,230,504.70/3,057.93
  6. Step 6: Final answer
    x = 2,364.51

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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.