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Finding the Fourth Proportional to 1,977.75, 2,972.01 and 1,053.97

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Solution

The fourth proportional to 1,977.75, 2,972.01 and 1,053.97 is: 1,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.75 : 2,972.01 = 1,053.97 : x
  2. Step 2: Convert to fraction form
    1,977.75/2,972.01 = 1,053.97/x
  3. Step 3: Cross multiply
    1,977.75x = 2,972.01 × 1,053.97
  4. Step 4: Simplify right side
    1,977.75x = 3,132,394.52
  5. Step 5: Solve for x
    x = 3,132,394.52/1,977.75
  6. Step 6: Final answer
    x = 1,583.82

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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.