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Finding the Fourth Proportional to 1,418.12, 2,126.54 and 985.48

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Solution

The fourth proportional to 1,418.12, 2,126.54 and 985.48 is: 1,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.12 : 2,126.54 = 985.48 : x
  2. Step 2: Convert to fraction form
    1,418.12/2,126.54 = 985.48/x
  3. Step 3: Cross multiply
    1,418.12x = 2,126.54 × 985.48
  4. Step 4: Simplify right side
    1,418.12x = 2,095,662.64
  5. Step 5: Solve for x
    x = 2,095,662.64/1,418.12
  6. Step 6: Final answer
    x = 1,477.78

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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.