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Finding the Fourth Proportional to 2,063.63, 3,095.43 and 503.61

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Solution

The fourth proportional to 2,063.63, 3,095.43 and 503.61 is: 755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.63 : 3,095.43 = 503.61 : x
  2. Step 2: Convert to fraction form
    2,063.63/3,095.43 = 503.61/x
  3. Step 3: Cross multiply
    2,063.63x = 3,095.43 × 503.61
  4. Step 4: Simplify right side
    2,063.63x = 1,558,889.50
  5. Step 5: Solve for x
    x = 1,558,889.50/2,063.63
  6. Step 6: Final answer
    x = 755.41

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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.