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Finding the Fourth Proportional to 2,804.45, 3,877.14 and 2,104.61

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Solution

The fourth proportional to 2,804.45, 3,877.14 and 2,104.61 is: 2,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.45 : 3,877.14 = 2,104.61 : x
  2. Step 2: Convert to fraction form
    2,804.45/3,877.14 = 2,104.61/x
  3. Step 3: Cross multiply
    2,804.45x = 3,877.14 × 2,104.61
  4. Step 4: Simplify right side
    2,804.45x = 8,159,848.23
  5. Step 5: Solve for x
    x = 8,159,848.23/2,804.45
  6. Step 6: Final answer
    x = 2,909.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.