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Finding the Fourth Proportional to 2,102.32, 3,153.48 and 563.32

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Solution

The fourth proportional to 2,102.32, 3,153.48 and 563.32 is: 844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.32 : 3,153.48 = 563.32 : x
  2. Step 2: Convert to fraction form
    2,102.32/3,153.48 = 563.32/x
  3. Step 3: Cross multiply
    2,102.32x = 3,153.48 × 563.32
  4. Step 4: Simplify right side
    2,102.32x = 1,776,418.35
  5. Step 5: Solve for x
    x = 1,776,418.35/2,102.32
  6. Step 6: Final answer
    x = 844.98

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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.