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Finding the Fourth Proportional to 3,057.68, 4,580.61 and 1,826.07

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Solution

The fourth proportional to 3,057.68, 4,580.61 and 1,826.07 is: 2,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.68 : 4,580.61 = 1,826.07 : x
  2. Step 2: Convert to fraction form
    3,057.68/4,580.61 = 1,826.07/x
  3. Step 3: Cross multiply
    3,057.68x = 4,580.61 × 1,826.07
  4. Step 4: Simplify right side
    3,057.68x = 8,364,514.50
  5. Step 5: Solve for x
    x = 8,364,514.50/3,057.68
  6. Step 6: Final answer
    x = 2,735.58

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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.