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Finding the Fourth Proportional to 2,034.05, 3,051.08 and 573.17

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Solution

The fourth proportional to 2,034.05, 3,051.08 and 573.17 is: 859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.05 : 3,051.08 = 573.17 : x
  2. Step 2: Convert to fraction form
    2,034.05/3,051.08 = 573.17/x
  3. Step 3: Cross multiply
    2,034.05x = 3,051.08 × 573.17
  4. Step 4: Simplify right side
    2,034.05x = 1,748,769.40
  5. Step 5: Solve for x
    x = 1,748,769.40/2,034.05
  6. Step 6: Final answer
    x = 859.75

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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.