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Finding the Fourth Proportional to 1,415.88, 1,954.53 and 892.62

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Solution

The fourth proportional to 1,415.88, 1,954.53 and 892.62 is: 1,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.88 : 1,954.53 = 892.62 : x
  2. Step 2: Convert to fraction form
    1,415.88/1,954.53 = 892.62/x
  3. Step 3: Cross multiply
    1,415.88x = 1,954.53 × 892.62
  4. Step 4: Simplify right side
    1,415.88x = 1,744,652.57
  5. Step 5: Solve for x
    x = 1,744,652.57/1,415.88
  6. Step 6: Final answer
    x = 1,232.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.