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Finding the Fourth Proportional to 1,832.05, 2,750.10 and 1,011.93

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Solution

The fourth proportional to 1,832.05, 2,750.10 and 1,011.93 is: 1,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.05 : 2,750.10 = 1,011.93 : x
  2. Step 2: Convert to fraction form
    1,832.05/2,750.10 = 1,011.93/x
  3. Step 3: Cross multiply
    1,832.05x = 2,750.10 × 1,011.93
  4. Step 4: Simplify right side
    1,832.05x = 2,782,908.69
  5. Step 5: Solve for x
    x = 2,782,908.69/1,832.05
  6. Step 6: Final answer
    x = 1,519.01

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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.