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Finding the Fourth Proportional to 2,318.30, 3,477.09 and 758.29

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Solution

The fourth proportional to 2,318.30, 3,477.09 and 758.29 is: 1,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.30 : 3,477.09 = 758.29 : x
  2. Step 2: Convert to fraction form
    2,318.30/3,477.09 = 758.29/x
  3. Step 3: Cross multiply
    2,318.30x = 3,477.09 × 758.29
  4. Step 4: Simplify right side
    2,318.30x = 2,636,642.58
  5. Step 5: Solve for x
    x = 2,636,642.58/2,318.30
  6. Step 6: Final answer
    x = 1,137.32

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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.