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Finding the Fourth Proportional to 1,956.66, 2,946.70 and 1,781.70

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Solution

The fourth proportional to 1,956.66, 2,946.70 and 1,781.70 is: 2,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.66 : 2,946.70 = 1,781.70 : x
  2. Step 2: Convert to fraction form
    1,956.66/2,946.70 = 1,781.70/x
  3. Step 3: Cross multiply
    1,956.66x = 2,946.70 × 1,781.70
  4. Step 4: Simplify right side
    1,956.66x = 5,250,131.58
  5. Step 5: Solve for x
    x = 5,250,131.58/1,956.66
  6. Step 6: Final answer
    x = 2,683.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.