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Finding the Fourth Proportional to 1,983.81, 2,976.14 and 597.03

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Solution

The fourth proportional to 1,983.81, 2,976.14 and 597.03 is: 895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.81 : 2,976.14 = 597.03 : x
  2. Step 2: Convert to fraction form
    1,983.81/2,976.14 = 597.03/x
  3. Step 3: Cross multiply
    1,983.81x = 2,976.14 × 597.03
  4. Step 4: Simplify right side
    1,983.81x = 1,776,846.36
  5. Step 5: Solve for x
    x = 1,776,846.36/1,983.81
  6. Step 6: Final answer
    x = 895.67

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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.