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Finding the Fourth Proportional to 2,034.67, 3,051.70 and 573.50

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Solution

The fourth proportional to 2,034.67, 3,051.70 and 573.50 is: 860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.67 : 3,051.70 = 573.50 : x
  2. Step 2: Convert to fraction form
    2,034.67/3,051.70 = 573.50/x
  3. Step 3: Cross multiply
    2,034.67x = 3,051.70 × 573.50
  4. Step 4: Simplify right side
    2,034.67x = 1,750,149.95
  5. Step 5: Solve for x
    x = 1,750,149.95/2,034.67
  6. Step 6: Final answer
    x = 860.16

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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.