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Finding the Fourth Proportional to 1,840.67, 2,762.16 and 745.03

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Solution

The fourth proportional to 1,840.67, 2,762.16 and 745.03 is: 1,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.67 : 2,762.16 = 745.03 : x
  2. Step 2: Convert to fraction form
    1,840.67/2,762.16 = 745.03/x
  3. Step 3: Cross multiply
    1,840.67x = 2,762.16 × 745.03
  4. Step 4: Simplify right side
    1,840.67x = 2,057,894.98
  5. Step 5: Solve for x
    x = 2,057,894.98/1,840.67
  6. Step 6: Final answer
    x = 1,118.02

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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.