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Finding the Fourth Proportional to 2,671.76, 4,007.64 and 1,284.64

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Solution

The fourth proportional to 2,671.76, 4,007.64 and 1,284.64 is: 1,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.76 : 4,007.64 = 1,284.64 : x
  2. Step 2: Convert to fraction form
    2,671.76/4,007.64 = 1,284.64/x
  3. Step 3: Cross multiply
    2,671.76x = 4,007.64 × 1,284.64
  4. Step 4: Simplify right side
    2,671.76x = 5,148,374.65
  5. Step 5: Solve for x
    x = 5,148,374.65/2,671.76
  6. Step 6: Final answer
    x = 1,926.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.