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Finding the Fourth Proportional to 2,495.16, 3,741.82 and 828.98

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Solution

The fourth proportional to 2,495.16, 3,741.82 and 828.98 is: 1,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.16 : 3,741.82 = 828.98 : x
  2. Step 2: Convert to fraction form
    2,495.16/3,741.82 = 828.98/x
  3. Step 3: Cross multiply
    2,495.16x = 3,741.82 × 828.98
  4. Step 4: Simplify right side
    2,495.16x = 3,101,893.94
  5. Step 5: Solve for x
    x = 3,101,893.94/2,495.16
  6. Step 6: Final answer
    x = 1,243.16

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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.