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Finding the Fourth Proportional to 1,571.30, 2,167.71 and 982.02

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Solution

The fourth proportional to 1,571.30, 2,167.71 and 982.02 is: 1,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.30 : 2,167.71 = 982.02 : x
  2. Step 2: Convert to fraction form
    1,571.30/2,167.71 = 982.02/x
  3. Step 3: Cross multiply
    1,571.30x = 2,167.71 × 982.02
  4. Step 4: Simplify right side
    1,571.30x = 2,128,744.54
  5. Step 5: Solve for x
    x = 2,128,744.54/1,571.30
  6. Step 6: Final answer
    x = 1,354.77

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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.