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Finding the Fourth Proportional to 1,316.28, 1,969.54 and 1,083

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Solution

The fourth proportional to 1,316.28, 1,969.54 and 1,083 is: 1,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.28 : 1,969.54 = 1,083 : x
  2. Step 2: Convert to fraction form
    1,316.28/1,969.54 = 1,083/x
  3. Step 3: Cross multiply
    1,316.28x = 1,969.54 × 1,083
  4. Step 4: Simplify right side
    1,316.28x = 2,133,011.82
  5. Step 5: Solve for x
    x = 2,133,011.82/1,316.28
  6. Step 6: Final answer
    x = 1,620.48

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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.