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Finding the Fourth Proportional to 2,109.98, 2,914.32 and 1,449.02

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Solution

The fourth proportional to 2,109.98, 2,914.32 and 1,449.02 is: 2,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.98 : 2,914.32 = 1,449.02 : x
  2. Step 2: Convert to fraction form
    2,109.98/2,914.32 = 1,449.02/x
  3. Step 3: Cross multiply
    2,109.98x = 2,914.32 × 1,449.02
  4. Step 4: Simplify right side
    2,109.98x = 4,222,907.97
  5. Step 5: Solve for x
    x = 4,222,907.97/2,109.98
  6. Step 6: Final answer
    x = 2,001.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.