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Finding the Fourth Proportional to 1,798, 2,480.97 and 1,012.03

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Solution

The fourth proportional to 1,798, 2,480.97 and 1,012.03 is: 1,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798 : 2,480.97 = 1,012.03 : x
  2. Step 2: Convert to fraction form
    1,798/2,480.97 = 1,012.03/x
  3. Step 3: Cross multiply
    1,798x = 2,480.97 × 1,012.03
  4. Step 4: Simplify right side
    1,798x = 2,510,816.07
  5. Step 5: Solve for x
    x = 2,510,816.07/1,798
  6. Step 6: Final answer
    x = 1,396.45

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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.