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Finding the Fourth Proportional to 1,614.34, 2,416.92 and 1,264.42

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Solution

The fourth proportional to 1,614.34, 2,416.92 and 1,264.42 is: 1,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.34 : 2,416.92 = 1,264.42 : x
  2. Step 2: Convert to fraction form
    1,614.34/2,416.92 = 1,264.42/x
  3. Step 3: Cross multiply
    1,614.34x = 2,416.92 × 1,264.42
  4. Step 4: Simplify right side
    1,614.34x = 3,056,001.99
  5. Step 5: Solve for x
    x = 3,056,001.99/1,614.34
  6. Step 6: Final answer
    x = 1,893.03

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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.