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Finding the Fourth Proportional to 2,919, 4,376.34 and 1,880.16

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Solution

The fourth proportional to 2,919, 4,376.34 and 1,880.16 is: 2,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919 : 4,376.34 = 1,880.16 : x
  2. Step 2: Convert to fraction form
    2,919/4,376.34 = 1,880.16/x
  3. Step 3: Cross multiply
    2,919x = 4,376.34 × 1,880.16
  4. Step 4: Simplify right side
    2,919x = 8,228,219.41
  5. Step 5: Solve for x
    x = 8,228,219.41/2,919
  6. Step 6: Final answer
    x = 2,818.85

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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.