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Finding the Fourth Proportional to 1,820.76, 2,731.38 and 588.54

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Solution

The fourth proportional to 1,820.76, 2,731.38 and 588.54 is: 882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.76 : 2,731.38 = 588.54 : x
  2. Step 2: Convert to fraction form
    1,820.76/2,731.38 = 588.54/x
  3. Step 3: Cross multiply
    1,820.76x = 2,731.38 × 588.54
  4. Step 4: Simplify right side
    1,820.76x = 1,607,526.39
  5. Step 5: Solve for x
    x = 1,607,526.39/1,820.76
  6. Step 6: Final answer
    x = 882.89

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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.