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Finding the Fourth Proportional to 2,376.87, 3,562.80 and 1,280.94

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Solution

The fourth proportional to 2,376.87, 3,562.80 and 1,280.94 is: 1,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.87 : 3,562.80 = 1,280.94 : x
  2. Step 2: Convert to fraction form
    2,376.87/3,562.80 = 1,280.94/x
  3. Step 3: Cross multiply
    2,376.87x = 3,562.80 × 1,280.94
  4. Step 4: Simplify right side
    2,376.87x = 4,563,733.03
  5. Step 5: Solve for x
    x = 4,563,733.03/2,376.87
  6. Step 6: Final answer
    x = 1,920.06

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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.