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Finding the Fourth Proportional to 1,580.90, 2,180.72 and 950.99

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Solution

The fourth proportional to 1,580.90, 2,180.72 and 950.99 is: 1,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.90 : 2,180.72 = 950.99 : x
  2. Step 2: Convert to fraction form
    1,580.90/2,180.72 = 950.99/x
  3. Step 3: Cross multiply
    1,580.90x = 2,180.72 × 950.99
  4. Step 4: Simplify right side
    1,580.90x = 2,073,834.39
  5. Step 5: Solve for x
    x = 2,073,834.39/1,580.90
  6. Step 6: Final answer
    x = 1,311.81

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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.