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Finding the Fourth Proportional to 1,631.93, 2,255.04 and 1,189.06

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Solution

The fourth proportional to 1,631.93, 2,255.04 and 1,189.06 is: 1,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.93 : 2,255.04 = 1,189.06 : x
  2. Step 2: Convert to fraction form
    1,631.93/2,255.04 = 1,189.06/x
  3. Step 3: Cross multiply
    1,631.93x = 2,255.04 × 1,189.06
  4. Step 4: Simplify right side
    1,631.93x = 2,681,377.86
  5. Step 5: Solve for x
    x = 2,681,377.86/1,631.93
  6. Step 6: Final answer
    x = 1,643.07

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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.