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Finding the Fourth Proportional to 1,779.72, 2,670.42 and 1,121.45

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Solution

The fourth proportional to 1,779.72, 2,670.42 and 1,121.45 is: 1,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.72 : 2,670.42 = 1,121.45 : x
  2. Step 2: Convert to fraction form
    1,779.72/2,670.42 = 1,121.45/x
  3. Step 3: Cross multiply
    1,779.72x = 2,670.42 × 1,121.45
  4. Step 4: Simplify right side
    1,779.72x = 2,994,735.83
  5. Step 5: Solve for x
    x = 2,994,735.83/1,779.72
  6. Step 6: Final answer
    x = 1,682.70

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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.