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Finding the Fourth Proportional to 1,826.07, 2,739.51 and 527.43

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Solution

The fourth proportional to 1,826.07, 2,739.51 and 527.43 is: 791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.07 : 2,739.51 = 527.43 : x
  2. Step 2: Convert to fraction form
    1,826.07/2,739.51 = 527.43/x
  3. Step 3: Cross multiply
    1,826.07x = 2,739.51 × 527.43
  4. Step 4: Simplify right side
    1,826.07x = 1,444,899.76
  5. Step 5: Solve for x
    x = 1,444,899.76/1,826.07
  6. Step 6: Final answer
    x = 791.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.