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Finding the Fourth Proportional to 1,779.20, 2,662.56 and 1,344.32

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Solution

The fourth proportional to 1,779.20, 2,662.56 and 1,344.32 is: 2,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.20 : 2,662.56 = 1,344.32 : x
  2. Step 2: Convert to fraction form
    1,779.20/2,662.56 = 1,344.32/x
  3. Step 3: Cross multiply
    1,779.20x = 2,662.56 × 1,344.32
  4. Step 4: Simplify right side
    1,779.20x = 3,579,332.66
  5. Step 5: Solve for x
    x = 3,579,332.66/1,779.20
  6. Step 6: Final answer
    x = 2,011.77

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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.