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Finding the Fourth Proportional to 3,419.84, 4,720.80 and 2,463.36

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Solution

The fourth proportional to 3,419.84, 4,720.80 and 2,463.36 is: 3,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.84 : 4,720.80 = 2,463.36 : x
  2. Step 2: Convert to fraction form
    3,419.84/4,720.80 = 2,463.36/x
  3. Step 3: Cross multiply
    3,419.84x = 4,720.80 × 2,463.36
  4. Step 4: Simplify right side
    3,419.84x = 11,629,029.89
  5. Step 5: Solve for x
    x = 11,629,029.89/3,419.84
  6. Step 6: Final answer
    x = 3,400.46

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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.