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Finding the Fourth Proportional to 2,656.72, 3,984.76 and 1,546.76

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Solution

The fourth proportional to 2,656.72, 3,984.76 and 1,546.76 is: 2,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.72 : 3,984.76 = 1,546.76 : x
  2. Step 2: Convert to fraction form
    2,656.72/3,984.76 = 1,546.76/x
  3. Step 3: Cross multiply
    2,656.72x = 3,984.76 × 1,546.76
  4. Step 4: Simplify right side
    2,656.72x = 6,163,467.38
  5. Step 5: Solve for x
    x = 6,163,467.38/2,656.72
  6. Step 6: Final answer
    x = 2,319.95

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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.