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Finding the Fourth Proportional to 2,949.34, 4,419.15 and 1,713.28

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Solution

The fourth proportional to 2,949.34, 4,419.15 and 1,713.28 is: 2,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.34 : 4,419.15 = 1,713.28 : x
  2. Step 2: Convert to fraction form
    2,949.34/4,419.15 = 1,713.28/x
  3. Step 3: Cross multiply
    2,949.34x = 4,419.15 × 1,713.28
  4. Step 4: Simplify right side
    2,949.34x = 7,571,241.31
  5. Step 5: Solve for x
    x = 7,571,241.31/2,949.34
  6. Step 6: Final answer
    x = 2,567.10

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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.