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Finding the Fourth Proportional to 1,416.54, 2,114.97 and 1,329.06

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Solution

The fourth proportional to 1,416.54, 2,114.97 and 1,329.06 is: 1,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.54 : 2,114.97 = 1,329.06 : x
  2. Step 2: Convert to fraction form
    1,416.54/2,114.97 = 1,329.06/x
  3. Step 3: Cross multiply
    1,416.54x = 2,114.97 × 1,329.06
  4. Step 4: Simplify right side
    1,416.54x = 2,810,922.03
  5. Step 5: Solve for x
    x = 2,810,922.03/1,416.54
  6. Step 6: Final answer
    x = 1,984.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.