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Finding the Fourth Proportional to 1,956.90, 2,700.45 and 1,171.38

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Solution

The fourth proportional to 1,956.90, 2,700.45 and 1,171.38 is: 1,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.90 : 2,700.45 = 1,171.38 : x
  2. Step 2: Convert to fraction form
    1,956.90/2,700.45 = 1,171.38/x
  3. Step 3: Cross multiply
    1,956.90x = 2,700.45 × 1,171.38
  4. Step 4: Simplify right side
    1,956.90x = 3,163,253.12
  5. Step 5: Solve for x
    x = 3,163,253.12/1,956.90
  6. Step 6: Final answer
    x = 1,616.46

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1.5x scale

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.