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Finding the Fourth Proportional to 4,161.84, 6,242.97 and 1,240.17

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Solution

The fourth proportional to 4,161.84, 6,242.97 and 1,240.17 is: 1,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.84 : 6,242.97 = 1,240.17 : x
  2. Step 2: Convert to fraction form
    4,161.84/6,242.97 = 1,240.17/x
  3. Step 3: Cross multiply
    4,161.84x = 6,242.97 × 1,240.17
  4. Step 4: Simplify right side
    4,161.84x = 7,742,344.10
  5. Step 5: Solve for x
    x = 7,742,344.10/4,161.84
  6. Step 6: Final answer
    x = 1,860.32

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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.