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Finding the Fourth Proportional to 1,416.42, 1,949.87 and 1,167.35

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Solution

The fourth proportional to 1,416.42, 1,949.87 and 1,167.35 is: 1,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.42 : 1,949.87 = 1,167.35 : x
  2. Step 2: Convert to fraction form
    1,416.42/1,949.87 = 1,167.35/x
  3. Step 3: Cross multiply
    1,416.42x = 1,949.87 × 1,167.35
  4. Step 4: Simplify right side
    1,416.42x = 2,276,173.91
  5. Step 5: Solve for x
    x = 2,276,173.91/1,416.42
  6. Step 6: Final answer
    x = 1,606.99

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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.