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Finding the Fourth Proportional to 2,470.50, 3,692.12 and 1,981.26

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Solution

The fourth proportional to 2,470.50, 3,692.12 and 1,981.26 is: 2,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.50 : 3,692.12 = 1,981.26 : x
  2. Step 2: Convert to fraction form
    2,470.50/3,692.12 = 1,981.26/x
  3. Step 3: Cross multiply
    2,470.50x = 3,692.12 × 1,981.26
  4. Step 4: Simplify right side
    2,470.50x = 7,315,039.76
  5. Step 5: Solve for x
    x = 7,315,039.76/2,470.50
  6. Step 6: Final answer
    x = 2,960.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.