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Finding the Fourth Proportional to 1,660.58, 2,292.58 and 1,476.04

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Solution

The fourth proportional to 1,660.58, 2,292.58 and 1,476.04 is: 2,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.58 : 2,292.58 = 1,476.04 : x
  2. Step 2: Convert to fraction form
    1,660.58/2,292.58 = 1,476.04/x
  3. Step 3: Cross multiply
    1,660.58x = 2,292.58 × 1,476.04
  4. Step 4: Simplify right side
    1,660.58x = 3,383,939.78
  5. Step 5: Solve for x
    x = 3,383,939.78/1,660.58
  6. Step 6: Final answer
    x = 2,037.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.