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Finding the Fourth Proportional to 2,285.40, 3,428.67 and 950.91

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Solution

The fourth proportional to 2,285.40, 3,428.67 and 950.91 is: 1,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.40 : 3,428.67 = 950.91 : x
  2. Step 2: Convert to fraction form
    2,285.40/3,428.67 = 950.91/x
  3. Step 3: Cross multiply
    2,285.40x = 3,428.67 × 950.91
  4. Step 4: Simplify right side
    2,285.40x = 3,260,356.59
  5. Step 5: Solve for x
    x = 3,260,356.59/2,285.40
  6. Step 6: Final answer
    x = 1,426.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.