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Finding the Fourth Proportional to 2,102.48, 3,153.72 and 563.52

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Solution

The fourth proportional to 2,102.48, 3,153.72 and 563.52 is: 845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.48 : 3,153.72 = 563.52 : x
  2. Step 2: Convert to fraction form
    2,102.48/3,153.72 = 563.52/x
  3. Step 3: Cross multiply
    2,102.48x = 3,153.72 × 563.52
  4. Step 4: Simplify right side
    2,102.48x = 1,777,184.29
  5. Step 5: Solve for x
    x = 1,777,184.29/2,102.48
  6. Step 6: Final answer
    x = 845.28

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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.