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Finding the Fourth Proportional to 2,745.58, 4,120.80 and 2,196.40

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Solution

The fourth proportional to 2,745.58, 4,120.80 and 2,196.40 is: 3,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.58 : 4,120.80 = 2,196.40 : x
  2. Step 2: Convert to fraction form
    2,745.58/4,120.80 = 2,196.40/x
  3. Step 3: Cross multiply
    2,745.58x = 4,120.80 × 2,196.40
  4. Step 4: Simplify right side
    2,745.58x = 9,050,925.12
  5. Step 5: Solve for x
    x = 9,050,925.12/2,745.58
  6. Step 6: Final answer
    x = 3,296.54

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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.