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Finding the Fourth Proportional to 1,838.96, 2,538.74 and 1,418.39

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Solution

The fourth proportional to 1,838.96, 2,538.74 and 1,418.39 is: 1,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.96 : 2,538.74 = 1,418.39 : x
  2. Step 2: Convert to fraction form
    1,838.96/2,538.74 = 1,418.39/x
  3. Step 3: Cross multiply
    1,838.96x = 2,538.74 × 1,418.39
  4. Step 4: Simplify right side
    1,838.96x = 3,600,938.08
  5. Step 5: Solve for x
    x = 3,600,938.08/1,838.96
  6. Step 6: Final answer
    x = 1,958.14

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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.