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Finding the Fourth Proportional to 2,538.39, 3,502.77 and 1,419.36

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Solution

The fourth proportional to 2,538.39, 3,502.77 and 1,419.36 is: 1,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.39 : 3,502.77 = 1,419.36 : x
  2. Step 2: Convert to fraction form
    2,538.39/3,502.77 = 1,419.36/x
  3. Step 3: Cross multiply
    2,538.39x = 3,502.77 × 1,419.36
  4. Step 4: Simplify right side
    2,538.39x = 4,971,691.63
  5. Step 5: Solve for x
    x = 4,971,691.63/2,538.39
  6. Step 6: Final answer
    x = 1,958.60

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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.