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Finding the Fourth Proportional to 2,034.66, 3,051.72 and 573.93

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Solution

The fourth proportional to 2,034.66, 3,051.72 and 573.93 is: 860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.66 : 3,051.72 = 573.93 : x
  2. Step 2: Convert to fraction form
    2,034.66/3,051.72 = 573.93/x
  3. Step 3: Cross multiply
    2,034.66x = 3,051.72 × 573.93
  4. Step 4: Simplify right side
    2,034.66x = 1,751,473.66
  5. Step 5: Solve for x
    x = 1,751,473.66/2,034.66
  6. Step 6: Final answer
    x = 860.82

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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.