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Finding the Fourth Proportional to 1,194.32, 1,637.14 and 1,174.16

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Solution

The fourth proportional to 1,194.32, 1,637.14 and 1,174.16 is: 1,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.32 : 1,637.14 = 1,174.16 : x
  2. Step 2: Convert to fraction form
    1,194.32/1,637.14 = 1,174.16/x
  3. Step 3: Cross multiply
    1,194.32x = 1,637.14 × 1,174.16
  4. Step 4: Simplify right side
    1,194.32x = 1,922,264.30
  5. Step 5: Solve for x
    x = 1,922,264.30/1,194.32
  6. Step 6: Final answer
    x = 1,609.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.