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Finding the Fourth Proportional to 4,344, 6,511.56 and 1,880.40

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Solution

The fourth proportional to 4,344, 6,511.56 and 1,880.40 is: 2,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344 : 6,511.56 = 1,880.40 : x
  2. Step 2: Convert to fraction form
    4,344/6,511.56 = 1,880.40/x
  3. Step 3: Cross multiply
    4,344x = 6,511.56 × 1,880.40
  4. Step 4: Simplify right side
    4,344x = 12,244,337.42
  5. Step 5: Solve for x
    x = 12,244,337.42/4,344
  6. Step 6: Final answer
    x = 2,818.68

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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.