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Finding the Fourth Proportional to 1,580.58, 2,181.42 and 882

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Solution

The fourth proportional to 1,580.58, 2,181.42 and 882 is: 1,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.58 : 2,181.42 = 882 : x
  2. Step 2: Convert to fraction form
    1,580.58/2,181.42 = 882/x
  3. Step 3: Cross multiply
    1,580.58x = 2,181.42 × 882
  4. Step 4: Simplify right side
    1,580.58x = 1,924,012.44
  5. Step 5: Solve for x
    x = 1,924,012.44/1,580.58
  6. Step 6: Final answer
    x = 1,217.28

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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.