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Finding the Fourth Proportional to 2,317.23, 3,475.85 and 758.31

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Solution

The fourth proportional to 2,317.23, 3,475.85 and 758.31 is: 1,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.23 : 3,475.85 = 758.31 : x
  2. Step 2: Convert to fraction form
    2,317.23/3,475.85 = 758.31/x
  3. Step 3: Cross multiply
    2,317.23x = 3,475.85 × 758.31
  4. Step 4: Simplify right side
    2,317.23x = 2,635,771.81
  5. Step 5: Solve for x
    x = 2,635,771.81/2,317.23
  6. Step 6: Final answer
    x = 1,137.47

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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.