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Finding the Fourth Proportional to 2,538.90, 3,504.01 and 1,419.90

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Solution

The fourth proportional to 2,538.90, 3,504.01 and 1,419.90 is: 1,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.90 : 3,504.01 = 1,419.90 : x
  2. Step 2: Convert to fraction form
    2,538.90/3,504.01 = 1,419.90/x
  3. Step 3: Cross multiply
    2,538.90x = 3,504.01 × 1,419.90
  4. Step 4: Simplify right side
    2,538.90x = 4,975,352.56
  5. Step 5: Solve for x
    x = 4,975,352.56/2,538.90
  6. Step 6: Final answer
    x = 1,959.65

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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.