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Finding the Fourth Proportional to 1,820.83, 2,731.58 and 588.11

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Solution

The fourth proportional to 1,820.83, 2,731.58 and 588.11 is: 882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.83 : 2,731.58 = 588.11 : x
  2. Step 2: Convert to fraction form
    1,820.83/2,731.58 = 588.11/x
  3. Step 3: Cross multiply
    1,820.83x = 2,731.58 × 588.11
  4. Step 4: Simplify right side
    1,820.83x = 1,606,469.51
  5. Step 5: Solve for x
    x = 1,606,469.51/1,820.83
  6. Step 6: Final answer
    x = 882.27

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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.