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Finding the Fourth Proportional to 1,647.19, 2,273.05 and 983.64

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Solution

The fourth proportional to 1,647.19, 2,273.05 and 983.64 is: 1,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.19 : 2,273.05 = 983.64 : x
  2. Step 2: Convert to fraction form
    1,647.19/2,273.05 = 983.64/x
  3. Step 3: Cross multiply
    1,647.19x = 2,273.05 × 983.64
  4. Step 4: Simplify right side
    1,647.19x = 2,235,867.12
  5. Step 5: Solve for x
    x = 2,235,867.12/1,647.19
  6. Step 6: Final answer
    x = 1,357.39

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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.