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Finding the Fourth Proportional to 2,995, 4,483.24 and 2,739.84

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Solution

The fourth proportional to 2,995, 4,483.24 and 2,739.84 is: 4,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995 : 4,483.24 = 2,739.84 : x
  2. Step 2: Convert to fraction form
    2,995/4,483.24 = 2,739.84/x
  3. Step 3: Cross multiply
    2,995x = 4,483.24 × 2,739.84
  4. Step 4: Simplify right side
    2,995x = 12,283,360.28
  5. Step 5: Solve for x
    x = 12,283,360.28/2,995
  6. Step 6: Final answer
    x = 4,101.29

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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.