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Finding the Fourth Proportional to 1,826.53, 2,739.58 and 527.99

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Solution

The fourth proportional to 1,826.53, 2,739.58 and 527.99 is: 791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.53 : 2,739.58 = 527.99 : x
  2. Step 2: Convert to fraction form
    1,826.53/2,739.58 = 527.99/x
  3. Step 3: Cross multiply
    1,826.53x = 2,739.58 × 527.99
  4. Step 4: Simplify right side
    1,826.53x = 1,446,470.84
  5. Step 5: Solve for x
    x = 1,446,470.84/1,826.53
  6. Step 6: Final answer
    x = 791.92

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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.