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Finding the Fourth Proportional to 1,820.84, 2,731.30 and 588.24

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Solution

The fourth proportional to 1,820.84, 2,731.30 and 588.24 is: 882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.84 : 2,731.30 = 588.24 : x
  2. Step 2: Convert to fraction form
    1,820.84/2,731.30 = 588.24/x
  3. Step 3: Cross multiply
    1,820.84x = 2,731.30 × 588.24
  4. Step 4: Simplify right side
    1,820.84x = 1,606,659.91
  5. Step 5: Solve for x
    x = 1,606,659.91/1,820.84
  6. Step 6: Final answer
    x = 882.37

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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.