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Finding the Fourth Proportional to 1,274.37, 1,908.32 and 1,167.45

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Solution

The fourth proportional to 1,274.37, 1,908.32 and 1,167.45 is: 1,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.37 : 1,908.32 = 1,167.45 : x
  2. Step 2: Convert to fraction form
    1,274.37/1,908.32 = 1,167.45/x
  3. Step 3: Cross multiply
    1,274.37x = 1,908.32 × 1,167.45
  4. Step 4: Simplify right side
    1,274.37x = 2,227,862.35
  5. Step 5: Solve for x
    x = 2,227,862.35/1,274.37
  6. Step 6: Final answer
    x = 1,748.21

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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.