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Finding the Fourth Proportional to 1,646.03, 2,271.47 and 982.55

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Solution

The fourth proportional to 1,646.03, 2,271.47 and 982.55 is: 1,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.03 : 2,271.47 = 982.55 : x
  2. Step 2: Convert to fraction form
    1,646.03/2,271.47 = 982.55/x
  3. Step 3: Cross multiply
    1,646.03x = 2,271.47 × 982.55
  4. Step 4: Simplify right side
    1,646.03x = 2,231,816.58
  5. Step 5: Solve for x
    x = 2,231,816.58/1,646.03
  6. Step 6: Final answer
    x = 1,355.88

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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.