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Finding the Fourth Proportional to 1,415.46, 2,120.46 and 1,180.36

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Solution

The fourth proportional to 1,415.46, 2,120.46 and 1,180.36 is: 1,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.46 : 2,120.46 = 1,180.36 : x
  2. Step 2: Convert to fraction form
    1,415.46/2,120.46 = 1,180.36/x
  3. Step 3: Cross multiply
    1,415.46x = 2,120.46 × 1,180.36
  4. Step 4: Simplify right side
    1,415.46x = 2,502,906.17
  5. Step 5: Solve for x
    x = 2,502,906.17/1,415.46
  6. Step 6: Final answer
    x = 1,768.26

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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.