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Finding the Fourth Proportional to 1,913.97, 2,641.43 and 1,074.86

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Solution

The fourth proportional to 1,913.97, 2,641.43 and 1,074.86 is: 1,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.97 : 2,641.43 = 1,074.86 : x
  2. Step 2: Convert to fraction form
    1,913.97/2,641.43 = 1,074.86/x
  3. Step 3: Cross multiply
    1,913.97x = 2,641.43 × 1,074.86
  4. Step 4: Simplify right side
    1,913.97x = 2,839,148.87
  5. Step 5: Solve for x
    x = 2,839,148.87/1,913.97
  6. Step 6: Final answer
    x = 1,483.38

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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.