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Finding the Fourth Proportional to 2,034.50, 3,051.74 and 573.66

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Solution

The fourth proportional to 2,034.50, 3,051.74 and 573.66 is: 860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.50 : 3,051.74 = 573.66 : x
  2. Step 2: Convert to fraction form
    2,034.50/3,051.74 = 573.66/x
  3. Step 3: Cross multiply
    2,034.50x = 3,051.74 × 573.66
  4. Step 4: Simplify right side
    2,034.50x = 1,750,658.30
  5. Step 5: Solve for x
    x = 1,750,658.30/2,034.50
  6. Step 6: Final answer
    x = 860.49

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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.