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Finding the Fourth Proportional to 1,632.80, 2,445.46 and 982.28

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Solution

The fourth proportional to 1,632.80, 2,445.46 and 982.28 is: 1,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.80 : 2,445.46 = 982.28 : x
  2. Step 2: Convert to fraction form
    1,632.80/2,445.46 = 982.28/x
  3. Step 3: Cross multiply
    1,632.80x = 2,445.46 × 982.28
  4. Step 4: Simplify right side
    1,632.80x = 2,402,126.45
  5. Step 5: Solve for x
    x = 2,402,126.45/1,632.80
  6. Step 6: Final answer
    x = 1,471.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.