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Finding the Fourth Proportional to 2,966.56, 4,446.64 and 1,578.50

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Solution

The fourth proportional to 2,966.56, 4,446.64 and 1,578.50 is: 2,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.56 : 4,446.64 = 1,578.50 : x
  2. Step 2: Convert to fraction form
    2,966.56/4,446.64 = 1,578.50/x
  3. Step 3: Cross multiply
    2,966.56x = 4,446.64 × 1,578.50
  4. Step 4: Simplify right side
    2,966.56x = 7,019,021.24
  5. Step 5: Solve for x
    x = 7,019,021.24/2,966.56
  6. Step 6: Final answer
    x = 2,366.05

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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.