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Finding the Fourth Proportional to 2,339.48, 3,509.31 and 779.42

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Solution

The fourth proportional to 2,339.48, 3,509.31 and 779.42 is: 1,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.48 : 3,509.31 = 779.42 : x
  2. Step 2: Convert to fraction form
    2,339.48/3,509.31 = 779.42/x
  3. Step 3: Cross multiply
    2,339.48x = 3,509.31 × 779.42
  4. Step 4: Simplify right side
    2,339.48x = 2,735,226.40
  5. Step 5: Solve for x
    x = 2,735,226.40/2,339.48
  6. Step 6: Final answer
    x = 1,169.16

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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.