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Finding the Fourth Proportional to 1,580.58, 2,180.79 and 917.73

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Solution

The fourth proportional to 1,580.58, 2,180.79 and 917.73 is: 1,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.58 : 2,180.79 = 917.73 : x
  2. Step 2: Convert to fraction form
    1,580.58/2,180.79 = 917.73/x
  3. Step 3: Cross multiply
    1,580.58x = 2,180.79 × 917.73
  4. Step 4: Simplify right side
    1,580.58x = 2,001,376.41
  5. Step 5: Solve for x
    x = 2,001,376.41/1,580.58
  6. Step 6: Final answer
    x = 1,266.23

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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.