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Finding the Fourth Proportional to 2,373.23, 3,560.26 and 812.86

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Solution

The fourth proportional to 2,373.23, 3,560.26 and 812.86 is: 1,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.23 : 3,560.26 = 812.86 : x
  2. Step 2: Convert to fraction form
    2,373.23/3,560.26 = 812.86/x
  3. Step 3: Cross multiply
    2,373.23x = 3,560.26 × 812.86
  4. Step 4: Simplify right side
    2,373.23x = 2,893,992.94
  5. Step 5: Solve for x
    x = 2,893,992.94/2,373.23
  6. Step 6: Final answer
    x = 1,219.43

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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.