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Finding the Fourth Proportional to 1,684, 2,525.90 and 588.44

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Solution

The fourth proportional to 1,684, 2,525.90 and 588.44 is: 882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 2,525.90 = 588.44 : x
  2. Step 2: Convert to fraction form
    1,684/2,525.90 = 588.44/x
  3. Step 3: Cross multiply
    1,684x = 2,525.90 × 588.44
  4. Step 4: Simplify right side
    1,684x = 1,486,340.60
  5. Step 5: Solve for x
    x = 1,486,340.60/1,684
  6. Step 6: Final answer
    x = 882.63

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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.