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Finding the Fourth Proportional to 1,580.46, 2,181.18 and 882

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Solution

The fourth proportional to 1,580.46, 2,181.18 and 882 is: 1,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.46 : 2,181.18 = 882 : x
  2. Step 2: Convert to fraction form
    1,580.46/2,181.18 = 882/x
  3. Step 3: Cross multiply
    1,580.46x = 2,181.18 × 882
  4. Step 4: Simplify right side
    1,580.46x = 1,923,800.76
  5. Step 5: Solve for x
    x = 1,923,800.76/1,580.46
  6. Step 6: Final answer
    x = 1,217.24

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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.