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Finding the Fourth Proportional to 3,848.64, 5,776.20 and 1,659

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Solution

The fourth proportional to 3,848.64, 5,776.20 and 1,659 is: 2,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.64 : 5,776.20 = 1,659 : x
  2. Step 2: Convert to fraction form
    3,848.64/5,776.20 = 1,659/x
  3. Step 3: Cross multiply
    3,848.64x = 5,776.20 × 1,659
  4. Step 4: Simplify right side
    3,848.64x = 9,582,715.80
  5. Step 5: Solve for x
    x = 9,582,715.80/3,848.64
  6. Step 6: Final answer
    x = 2,489.90

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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.