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Finding the Fourth Proportional to 2,977.98, 4,100.27 and 2,528.93

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Solution

The fourth proportional to 2,977.98, 4,100.27 and 2,528.93 is: 3,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.98 : 4,100.27 = 2,528.93 : x
  2. Step 2: Convert to fraction form
    2,977.98/4,100.27 = 2,528.93/x
  3. Step 3: Cross multiply
    2,977.98x = 4,100.27 × 2,528.93
  4. Step 4: Simplify right side
    2,977.98x = 10,369,262.67
  5. Step 5: Solve for x
    x = 10,369,262.67/2,977.98
  6. Step 6: Final answer
    x = 3,481.98

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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.