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Finding the Fourth Proportional to 1,882.51, 2,824.30 and 566.37

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Solution

The fourth proportional to 1,882.51, 2,824.30 and 566.37 is: 849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.51 : 2,824.30 = 566.37 : x
  2. Step 2: Convert to fraction form
    1,882.51/2,824.30 = 566.37/x
  3. Step 3: Cross multiply
    1,882.51x = 2,824.30 × 566.37
  4. Step 4: Simplify right side
    1,882.51x = 1,599,598.79
  5. Step 5: Solve for x
    x = 1,599,598.79/1,882.51
  6. Step 6: Final answer
    x = 849.72

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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.