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Finding the Fourth Proportional to 2,670.76, 4,007 and 1,284.20

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Solution

The fourth proportional to 2,670.76, 4,007 and 1,284.20 is: 1,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.76 : 4,007 = 1,284.20 : x
  2. Step 2: Convert to fraction form
    2,670.76/4,007 = 1,284.20/x
  3. Step 3: Cross multiply
    2,670.76x = 4,007 × 1,284.20
  4. Step 4: Simplify right side
    2,670.76x = 5,145,789.40
  5. Step 5: Solve for x
    x = 5,145,789.40/2,670.76
  6. Step 6: Final answer
    x = 1,926.72

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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.