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Finding the Fourth Proportional to 2,969.90, 4,449.45 and 2,419.10

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Solution

The fourth proportional to 2,969.90, 4,449.45 and 2,419.10 is: 3,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.90 : 4,449.45 = 2,419.10 : x
  2. Step 2: Convert to fraction form
    2,969.90/4,449.45 = 2,419.10/x
  3. Step 3: Cross multiply
    2,969.90x = 4,449.45 × 2,419.10
  4. Step 4: Simplify right side
    2,969.90x = 10,763,664.50
  5. Step 5: Solve for x
    x = 10,763,664.50/2,969.90
  6. Step 6: Final answer
    x = 3,624.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.