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Finding the Fourth Proportional to 3,069.68, 4,606.50 and 1,427

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Solution

The fourth proportional to 3,069.68, 4,606.50 and 1,427 is: 2,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.68 : 4,606.50 = 1,427 : x
  2. Step 2: Convert to fraction form
    3,069.68/4,606.50 = 1,427/x
  3. Step 3: Cross multiply
    3,069.68x = 4,606.50 × 1,427
  4. Step 4: Simplify right side
    3,069.68x = 6,573,475.50
  5. Step 5: Solve for x
    x = 6,573,475.50/3,069.68
  6. Step 6: Final answer
    x = 2,141.42

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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.