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Finding the Fourth Proportional to 1,956.20, 2,931.78 and 982.88

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Solution

The fourth proportional to 1,956.20, 2,931.78 and 982.88 is: 1,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.20 : 2,931.78 = 982.88 : x
  2. Step 2: Convert to fraction form
    1,956.20/2,931.78 = 982.88/x
  3. Step 3: Cross multiply
    1,956.20x = 2,931.78 × 982.88
  4. Step 4: Simplify right side
    1,956.20x = 2,881,587.93
  5. Step 5: Solve for x
    x = 2,881,587.93/1,956.20
  6. Step 6: Final answer
    x = 1,473.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.