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Finding the Fourth Proportional to 2,771.41, 4,152.86 and 1,728.64

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Solution

The fourth proportional to 2,771.41, 4,152.86 and 1,728.64 is: 2,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.41 : 4,152.86 = 1,728.64 : x
  2. Step 2: Convert to fraction form
    2,771.41/4,152.86 = 1,728.64/x
  3. Step 3: Cross multiply
    2,771.41x = 4,152.86 × 1,728.64
  4. Step 4: Simplify right side
    2,771.41x = 7,178,779.15
  5. Step 5: Solve for x
    x = 7,178,779.15/2,771.41
  6. Step 6: Final answer
    x = 2,590.30

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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.