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Finding the Fourth Proportional to 1,580.81, 2,181.50 and 872.66

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Solution

The fourth proportional to 1,580.81, 2,181.50 and 872.66 is: 1,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.81 : 2,181.50 = 872.66 : x
  2. Step 2: Convert to fraction form
    1,580.81/2,181.50 = 872.66/x
  3. Step 3: Cross multiply
    1,580.81x = 2,181.50 × 872.66
  4. Step 4: Simplify right side
    1,580.81x = 1,903,707.79
  5. Step 5: Solve for x
    x = 1,903,707.79/1,580.81
  6. Step 6: Final answer
    x = 1,204.26

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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.