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Finding the Fourth Proportional to 1,976.00, 2,957.56 and 1,455.79

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Solution

The fourth proportional to 1,976.00, 2,957.56 and 1,455.79 is: 2,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.00 : 2,957.56 = 1,455.79 : x
  2. Step 2: Convert to fraction form
    1,976.00/2,957.56 = 1,455.79/x
  3. Step 3: Cross multiply
    1,976.00x = 2,957.56 × 1,455.79
  4. Step 4: Simplify right side
    1,976.00x = 4,305,575.24
  5. Step 5: Solve for x
    x = 4,305,575.24/1,976.00
  6. Step 6: Final answer
    x = 2,178.94

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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.