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Finding the Fourth Proportional to 1,474.93, 2,213.76 and 745.02

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Solution

The fourth proportional to 1,474.93, 2,213.76 and 745.02 is: 1,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.93 : 2,213.76 = 745.02 : x
  2. Step 2: Convert to fraction form
    1,474.93/2,213.76 = 745.02/x
  3. Step 3: Cross multiply
    1,474.93x = 2,213.76 × 745.02
  4. Step 4: Simplify right side
    1,474.93x = 1,649,295.48
  5. Step 5: Solve for x
    x = 1,649,295.48/1,474.93
  6. Step 6: Final answer
    x = 1,118.22

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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.