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Finding the Fourth Proportional to 1,890.55, 2,835.83 and 574.31

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Solution

The fourth proportional to 1,890.55, 2,835.83 and 574.31 is: 861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.55 : 2,835.83 = 574.31 : x
  2. Step 2: Convert to fraction form
    1,890.55/2,835.83 = 574.31/x
  3. Step 3: Cross multiply
    1,890.55x = 2,835.83 × 574.31
  4. Step 4: Simplify right side
    1,890.55x = 1,628,645.53
  5. Step 5: Solve for x
    x = 1,628,645.53/1,890.55
  6. Step 6: Final answer
    x = 861.47

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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.