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Finding the Fourth Proportional to 2,941.81, 4,412.81 and 1,480.17

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Solution

The fourth proportional to 2,941.81, 4,412.81 and 1,480.17 is: 2,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.81 : 4,412.81 = 1,480.17 : x
  2. Step 2: Convert to fraction form
    2,941.81/4,412.81 = 1,480.17/x
  3. Step 3: Cross multiply
    2,941.81x = 4,412.81 × 1,480.17
  4. Step 4: Simplify right side
    2,941.81x = 6,531,708.98
  5. Step 5: Solve for x
    x = 6,531,708.98/2,941.81
  6. Step 6: Final answer
    x = 2,220.30

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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.