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Finding the Fourth Proportional to 2,419.58, 3,342.40 and 2,329.68

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Solution

The fourth proportional to 2,419.58, 3,342.40 and 2,329.68 is: 3,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.58 : 3,342.40 = 2,329.68 : x
  2. Step 2: Convert to fraction form
    2,419.58/3,342.40 = 2,329.68/x
  3. Step 3: Cross multiply
    2,419.58x = 3,342.40 × 2,329.68
  4. Step 4: Simplify right side
    2,419.58x = 7,786,722.43
  5. Step 5: Solve for x
    x = 7,786,722.43/2,419.58
  6. Step 6: Final answer
    x = 3,218.21

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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.