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Finding the Fourth Proportional to 2,102.86, 3,153.93 and 563.50

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Solution

The fourth proportional to 2,102.86, 3,153.93 and 563.50 is: 845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.86 : 3,153.93 = 563.50 : x
  2. Step 2: Convert to fraction form
    2,102.86/3,153.93 = 563.50/x
  3. Step 3: Cross multiply
    2,102.86x = 3,153.93 × 563.50
  4. Step 4: Simplify right side
    2,102.86x = 1,777,239.56
  5. Step 5: Solve for x
    x = 1,777,239.56/2,102.86
  6. Step 6: Final answer
    x = 845.15

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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.