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Finding the Fourth Proportional to 1,956.98, 2,701.48 and 1,170.88

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Solution

The fourth proportional to 1,956.98, 2,701.48 and 1,170.88 is: 1,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.98 : 2,701.48 = 1,170.88 : x
  2. Step 2: Convert to fraction form
    1,956.98/2,701.48 = 1,170.88/x
  3. Step 3: Cross multiply
    1,956.98x = 2,701.48 × 1,170.88
  4. Step 4: Simplify right side
    1,956.98x = 3,163,108.90
  5. Step 5: Solve for x
    x = 3,163,108.90/1,956.98
  6. Step 6: Final answer
    x = 1,616.32

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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.