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Finding the Fourth Proportional to 1,645.94, 2,271.52 and 982.78

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Solution

The fourth proportional to 1,645.94, 2,271.52 and 982.78 is: 1,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.94 : 2,271.52 = 982.78 : x
  2. Step 2: Convert to fraction form
    1,645.94/2,271.52 = 982.78/x
  3. Step 3: Cross multiply
    1,645.94x = 2,271.52 × 982.78
  4. Step 4: Simplify right side
    1,645.94x = 2,232,404.43
  5. Step 5: Solve for x
    x = 2,232,404.43/1,645.94
  6. Step 6: Final answer
    x = 1,356.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.