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Finding the Fourth Proportional to 2,707.70, 4,059.90 and 1,062.26

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Solution

The fourth proportional to 2,707.70, 4,059.90 and 1,062.26 is: 1,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.70 : 4,059.90 = 1,062.26 : x
  2. Step 2: Convert to fraction form
    2,707.70/4,059.90 = 1,062.26/x
  3. Step 3: Cross multiply
    2,707.70x = 4,059.90 × 1,062.26
  4. Step 4: Simplify right side
    2,707.70x = 4,312,669.37
  5. Step 5: Solve for x
    x = 4,312,669.37/2,707.70
  6. Step 6: Final answer
    x = 1,592.74

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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.