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Finding the Fourth Proportional to 1,580.62, 2,181.34 and 882

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Solution

The fourth proportional to 1,580.62, 2,181.34 and 882 is: 1,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.62 : 2,181.34 = 882 : x
  2. Step 2: Convert to fraction form
    1,580.62/2,181.34 = 882/x
  3. Step 3: Cross multiply
    1,580.62x = 2,181.34 × 882
  4. Step 4: Simplify right side
    1,580.62x = 1,923,941.88
  5. Step 5: Solve for x
    x = 1,923,941.88/1,580.62
  6. Step 6: Final answer
    x = 1,217.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.