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Finding the Fourth Proportional to 1,769, 2,441.16 and 983.12

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Solution

The fourth proportional to 1,769, 2,441.16 and 983.12 is: 1,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769 : 2,441.16 = 983.12 : x
  2. Step 2: Convert to fraction form
    1,769/2,441.16 = 983.12/x
  3. Step 3: Cross multiply
    1,769x = 2,441.16 × 983.12
  4. Step 4: Simplify right side
    1,769x = 2,399,953.22
  5. Step 5: Solve for x
    x = 2,399,953.22/1,769
  6. Step 6: Final answer
    x = 1,356.67

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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.