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Finding the Fourth Proportional to 1,958.93, 2,937.81 and 1,034.00

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Solution

The fourth proportional to 1,958.93, 2,937.81 and 1,034.00 is: 1,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.93 : 2,937.81 = 1,034.00 : x
  2. Step 2: Convert to fraction form
    1,958.93/2,937.81 = 1,034.00/x
  3. Step 3: Cross multiply
    1,958.93x = 2,937.81 × 1,034.00
  4. Step 4: Simplify right side
    1,958.93x = 3,037,680.85
  5. Step 5: Solve for x
    x = 3,037,680.85/1,958.93
  6. Step 6: Final answer
    x = 1,550.68

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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.