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Finding the Fourth Proportional to 1,825.48, 2,738.63 and 527.05

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Solution

The fourth proportional to 1,825.48, 2,738.63 and 527.05 is: 790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.48 : 2,738.63 = 527.05 : x
  2. Step 2: Convert to fraction form
    1,825.48/2,738.63 = 527.05/x
  3. Step 3: Cross multiply
    1,825.48x = 2,738.63 × 527.05
  4. Step 4: Simplify right side
    1,825.48x = 1,443,394.94
  5. Step 5: Solve for x
    x = 1,443,394.94/1,825.48
  6. Step 6: Final answer
    x = 790.69

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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.