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Finding the Fourth Proportional to 2,034.29, 3,051 and 573.05

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Solution

The fourth proportional to 2,034.29, 3,051 and 573.05 is: 859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.29 : 3,051 = 573.05 : x
  2. Step 2: Convert to fraction form
    2,034.29/3,051 = 573.05/x
  3. Step 3: Cross multiply
    2,034.29x = 3,051 × 573.05
  4. Step 4: Simplify right side
    2,034.29x = 1,748,360.30
  5. Step 5: Solve for x
    x = 1,748,360.30/2,034.29
  6. Step 6: Final answer
    x = 859.45

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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.