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Finding the Fourth Proportional to 1,580.34, 2,180.89 and 881.71

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Solution

The fourth proportional to 1,580.34, 2,180.89 and 881.71 is: 1,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.34 : 2,180.89 = 881.71 : x
  2. Step 2: Convert to fraction form
    1,580.34/2,180.89 = 881.71/x
  3. Step 3: Cross multiply
    1,580.34x = 2,180.89 × 881.71
  4. Step 4: Simplify right side
    1,580.34x = 1,922,912.52
  5. Step 5: Solve for x
    x = 1,922,912.52/1,580.34
  6. Step 6: Final answer
    x = 1,216.77

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