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Finding the Fourth Proportional to 1,956.95, 2,937.13 and 1,134.09

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Solution

The fourth proportional to 1,956.95, 2,937.13 and 1,134.09 is: 1,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.95 : 2,937.13 = 1,134.09 : x
  2. Step 2: Convert to fraction form
    1,956.95/2,937.13 = 1,134.09/x
  3. Step 3: Cross multiply
    1,956.95x = 2,937.13 × 1,134.09
  4. Step 4: Simplify right side
    1,956.95x = 3,330,949.41
  5. Step 5: Solve for x
    x = 3,330,949.41/1,956.95
  6. Step 6: Final answer
    x = 1,702.12

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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.