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Finding the Fourth Proportional to 2,980.04, 4,467.25 and 1,419.22

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Solution

The fourth proportional to 2,980.04, 4,467.25 and 1,419.22 is: 2,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.04 : 4,467.25 = 1,419.22 : x
  2. Step 2: Convert to fraction form
    2,980.04/4,467.25 = 1,419.22/x
  3. Step 3: Cross multiply
    2,980.04x = 4,467.25 × 1,419.22
  4. Step 4: Simplify right side
    2,980.04x = 6,340,017.90
  5. Step 5: Solve for x
    x = 6,340,017.90/2,980.04
  6. Step 6: Final answer
    x = 2,127.49

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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.