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Finding the Fourth Proportional to 2,484.48, 3,729.12 and 1,893.96

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Solution

The fourth proportional to 2,484.48, 3,729.12 and 1,893.96 is: 2,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.48 : 3,729.12 = 1,893.96 : x
  2. Step 2: Convert to fraction form
    2,484.48/3,729.12 = 1,893.96/x
  3. Step 3: Cross multiply
    2,484.48x = 3,729.12 × 1,893.96
  4. Step 4: Simplify right side
    2,484.48x = 7,062,804.12
  5. Step 5: Solve for x
    x = 7,062,804.12/2,484.48
  6. Step 6: Final answer
    x = 2,842.77

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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.