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Finding the Fourth Proportional to 1,580.55, 2,181.17 and 881.93

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Solution

The fourth proportional to 1,580.55, 2,181.17 and 881.93 is: 1,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.55 : 2,181.17 = 881.93 : x
  2. Step 2: Convert to fraction form
    1,580.55/2,181.17 = 881.93/x
  3. Step 3: Cross multiply
    1,580.55x = 2,181.17 × 881.93
  4. Step 4: Simplify right side
    1,580.55x = 1,923,638.30
  5. Step 5: Solve for x
    x = 1,923,638.30/1,580.55
  6. Step 6: Final answer
    x = 1,217.07

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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.