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Finding the Fourth Proportional to 2,594.98, 3,891.29 and 745.67

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Solution

The fourth proportional to 2,594.98, 3,891.29 and 745.67 is: 1,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.98 : 3,891.29 = 745.67 : x
  2. Step 2: Convert to fraction form
    2,594.98/3,891.29 = 745.67/x
  3. Step 3: Cross multiply
    2,594.98x = 3,891.29 × 745.67
  4. Step 4: Simplify right side
    2,594.98x = 2,901,618.21
  5. Step 5: Solve for x
    x = 2,901,618.21/2,594.98
  6. Step 6: Final answer
    x = 1,118.17

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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.