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Finding the Fourth Proportional to 1,660.56, 2,490.84 and 1,446.72

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Solution

The fourth proportional to 1,660.56, 2,490.84 and 1,446.72 is: 2,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.56 : 2,490.84 = 1,446.72 : x
  2. Step 2: Convert to fraction form
    1,660.56/2,490.84 = 1,446.72/x
  3. Step 3: Cross multiply
    1,660.56x = 2,490.84 × 1,446.72
  4. Step 4: Simplify right side
    1,660.56x = 3,603,548.04
  5. Step 5: Solve for x
    x = 3,603,548.04/1,660.56
  6. Step 6: Final answer
    x = 2,170.08

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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.