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Finding the Fourth Proportional to 1,966.08, 2,949.24 and 579.42

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Solution

The fourth proportional to 1,966.08, 2,949.24 and 579.42 is: 869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.08 : 2,949.24 = 579.42 : x
  2. Step 2: Convert to fraction form
    1,966.08/2,949.24 = 579.42/x
  3. Step 3: Cross multiply
    1,966.08x = 2,949.24 × 579.42
  4. Step 4: Simplify right side
    1,966.08x = 1,708,848.64
  5. Step 5: Solve for x
    x = 1,708,848.64/1,966.08
  6. Step 6: Final answer
    x = 869.17

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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.