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Finding the Fourth Proportional to 2,366.87, 3,548.23 and 979.34

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Solution

The fourth proportional to 2,366.87, 3,548.23 and 979.34 is: 1,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.87 : 3,548.23 = 979.34 : x
  2. Step 2: Convert to fraction form
    2,366.87/3,548.23 = 979.34/x
  3. Step 3: Cross multiply
    2,366.87x = 3,548.23 × 979.34
  4. Step 4: Simplify right side
    2,366.87x = 3,474,903.38
  5. Step 5: Solve for x
    x = 3,474,903.38/2,366.87
  6. Step 6: Final answer
    x = 1,468.15

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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.