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Finding the Fourth Proportional to 2,594.35, 3,890.36 and 745.05

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Solution

The fourth proportional to 2,594.35, 3,890.36 and 745.05 is: 1,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.35 : 3,890.36 = 745.05 : x
  2. Step 2: Convert to fraction form
    2,594.35/3,890.36 = 745.05/x
  3. Step 3: Cross multiply
    2,594.35x = 3,890.36 × 745.05
  4. Step 4: Simplify right side
    2,594.35x = 2,898,489.54
  5. Step 5: Solve for x
    x = 2,898,489.54/2,594.35
  6. Step 6: Final answer
    x = 1,117.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.