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Finding the Fourth Proportional to 4,276.52, 6,411.10 and 1,678.84

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Solution

The fourth proportional to 4,276.52, 6,411.10 and 1,678.84 is: 2,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.52 : 6,411.10 = 1,678.84 : x
  2. Step 2: Convert to fraction form
    4,276.52/6,411.10 = 1,678.84/x
  3. Step 3: Cross multiply
    4,276.52x = 6,411.10 × 1,678.84
  4. Step 4: Simplify right side
    4,276.52x = 10,763,211.12
  5. Step 5: Solve for x
    x = 10,763,211.12/4,276.52
  6. Step 6: Final answer
    x = 2,516.82

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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.