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Finding the Fourth Proportional to 1,974.52, 2,725.05 and 1,476.30

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Solution

The fourth proportional to 1,974.52, 2,725.05 and 1,476.30 is: 2,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.52 : 2,725.05 = 1,476.30 : x
  2. Step 2: Convert to fraction form
    1,974.52/2,725.05 = 1,476.30/x
  3. Step 3: Cross multiply
    1,974.52x = 2,725.05 × 1,476.30
  4. Step 4: Simplify right side
    1,974.52x = 4,022,991.32
  5. Step 5: Solve for x
    x = 4,022,991.32/1,974.52
  6. Step 6: Final answer
    x = 2,037.45

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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.