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Finding the Fourth Proportional to 1,504.12, 2,071.16 and 1,416.44

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Solution

The fourth proportional to 1,504.12, 2,071.16 and 1,416.44 is: 1,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.12 : 2,071.16 = 1,416.44 : x
  2. Step 2: Convert to fraction form
    1,504.12/2,071.16 = 1,416.44/x
  3. Step 3: Cross multiply
    1,504.12x = 2,071.16 × 1,416.44
  4. Step 4: Simplify right side
    1,504.12x = 2,933,673.87
  5. Step 5: Solve for x
    x = 2,933,673.87/1,504.12
  6. Step 6: Final answer
    x = 1,950.43

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