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Finding the Fourth Proportional to 3,318.98, 4,977.29 and 1,097.41

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Solution

The fourth proportional to 3,318.98, 4,977.29 and 1,097.41 is: 1,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.98 : 4,977.29 = 1,097.41 : x
  2. Step 2: Convert to fraction form
    3,318.98/4,977.29 = 1,097.41/x
  3. Step 3: Cross multiply
    3,318.98x = 4,977.29 × 1,097.41
  4. Step 4: Simplify right side
    3,318.98x = 5,462,114.00
  5. Step 5: Solve for x
    x = 5,462,114.00/3,318.98
  6. Step 6: Final answer
    x = 1,645.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.