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Finding the Fourth Proportional to 2,404.31, 3,317.01 and 1,409.22

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Solution

The fourth proportional to 2,404.31, 3,317.01 and 1,409.22 is: 1,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.31 : 3,317.01 = 1,409.22 : x
  2. Step 2: Convert to fraction form
    2,404.31/3,317.01 = 1,409.22/x
  3. Step 3: Cross multiply
    2,404.31x = 3,317.01 × 1,409.22
  4. Step 4: Simplify right side
    2,404.31x = 4,674,396.83
  5. Step 5: Solve for x
    x = 4,674,396.83/2,404.31
  6. Step 6: Final answer
    x = 1,944.18

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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.