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Finding the Fourth Proportional to 2,063.56, 3,095.40 and 524.56

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Solution

The fourth proportional to 2,063.56, 3,095.40 and 524.56 is: 786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.56 : 3,095.40 = 524.56 : x
  2. Step 2: Convert to fraction form
    2,063.56/3,095.40 = 524.56/x
  3. Step 3: Cross multiply
    2,063.56x = 3,095.40 × 524.56
  4. Step 4: Simplify right side
    2,063.56x = 1,623,723.02
  5. Step 5: Solve for x
    x = 1,623,723.02/2,063.56
  6. Step 6: Final answer
    x = 786.86

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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.