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Finding the Fourth Proportional to 2,376.86, 3,280.24 and 1,314.84

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Solution

The fourth proportional to 2,376.86, 3,280.24 and 1,314.84 is: 1,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.86 : 3,280.24 = 1,314.84 : x
  2. Step 2: Convert to fraction form
    2,376.86/3,280.24 = 1,314.84/x
  3. Step 3: Cross multiply
    2,376.86x = 3,280.24 × 1,314.84
  4. Step 4: Simplify right side
    2,376.86x = 4,312,990.76
  5. Step 5: Solve for x
    x = 4,312,990.76/2,376.86
  6. Step 6: Final answer
    x = 1,814.58

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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.