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Finding the Fourth Proportional to 2,595.09, 3,893.23 and 746.22

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Solution

The fourth proportional to 2,595.09, 3,893.23 and 746.22 is: 1,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.09 : 3,893.23 = 746.22 : x
  2. Step 2: Convert to fraction form
    2,595.09/3,893.23 = 746.22/x
  3. Step 3: Cross multiply
    2,595.09x = 3,893.23 × 746.22
  4. Step 4: Simplify right side
    2,595.09x = 2,905,206.09
  5. Step 5: Solve for x
    x = 2,905,206.09/2,595.09
  6. Step 6: Final answer
    x = 1,119.50

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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.