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Finding the Fourth Proportional to 1,571.70, 2,169.37 and 981.90

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Solution

The fourth proportional to 1,571.70, 2,169.37 and 981.90 is: 1,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.70 : 2,169.37 = 981.90 : x
  2. Step 2: Convert to fraction form
    1,571.70/2,169.37 = 981.90/x
  3. Step 3: Cross multiply
    1,571.70x = 2,169.37 × 981.90
  4. Step 4: Simplify right side
    1,571.70x = 2,130,104.40
  5. Step 5: Solve for x
    x = 2,130,104.40/1,571.70
  6. Step 6: Final answer
    x = 1,355.29

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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.