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Finding the Fourth Proportional to 1,976.01, 2,964.06 and 935.76

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Solution

The fourth proportional to 1,976.01, 2,964.06 and 935.76 is: 1,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.01 : 2,964.06 = 935.76 : x
  2. Step 2: Convert to fraction form
    1,976.01/2,964.06 = 935.76/x
  3. Step 3: Cross multiply
    1,976.01x = 2,964.06 × 935.76
  4. Step 4: Simplify right side
    1,976.01x = 2,773,659.90
  5. Step 5: Solve for x
    x = 2,773,659.90/1,976.01
  6. Step 6: Final answer
    x = 1,403.67

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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.