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Finding the Fourth Proportional to 2,403.65, 3,317.15 and 1,409.27

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Solution

The fourth proportional to 2,403.65, 3,317.15 and 1,409.27 is: 1,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.65 : 3,317.15 = 1,409.27 : x
  2. Step 2: Convert to fraction form
    2,403.65/3,317.15 = 1,409.27/x
  3. Step 3: Cross multiply
    2,403.65x = 3,317.15 × 1,409.27
  4. Step 4: Simplify right side
    2,403.65x = 4,674,759.98
  5. Step 5: Solve for x
    x = 4,674,759.98/2,403.65
  6. Step 6: Final answer
    x = 1,944.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.