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Finding the Fourth Proportional to 1,913.83, 2,640.42 and 1,074.41

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Solution

The fourth proportional to 1,913.83, 2,640.42 and 1,074.41 is: 1,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.83 : 2,640.42 = 1,074.41 : x
  2. Step 2: Convert to fraction form
    1,913.83/2,640.42 = 1,074.41/x
  3. Step 3: Cross multiply
    1,913.83x = 2,640.42 × 1,074.41
  4. Step 4: Simplify right side
    1,913.83x = 2,836,908.23
  5. Step 5: Solve for x
    x = 2,836,908.23/1,913.83
  6. Step 6: Final answer
    x = 1,482.32

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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.