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Finding the Fourth Proportional to 3,176.75, 4,383.90 and 1,779.50

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Solution

The fourth proportional to 3,176.75, 4,383.90 and 1,779.50 is: 2,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.75 : 4,383.90 = 1,779.50 : x
  2. Step 2: Convert to fraction form
    3,176.75/4,383.90 = 1,779.50/x
  3. Step 3: Cross multiply
    3,176.75x = 4,383.90 × 1,779.50
  4. Step 4: Simplify right side
    3,176.75x = 7,801,128.13
  5. Step 5: Solve for x
    x = 7,801,128.13/3,176.75
  6. Step 6: Final answer
    x = 2,455.70

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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.