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Finding the Fourth Proportional to 1,945.96, 2,686.02 and 1,200.15

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Solution

The fourth proportional to 1,945.96, 2,686.02 and 1,200.15 is: 1,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.96 : 2,686.02 = 1,200.15 : x
  2. Step 2: Convert to fraction form
    1,945.96/2,686.02 = 1,200.15/x
  3. Step 3: Cross multiply
    1,945.96x = 2,686.02 × 1,200.15
  4. Step 4: Simplify right side
    1,945.96x = 3,223,626.90
  5. Step 5: Solve for x
    x = 3,223,626.90/1,945.96
  6. Step 6: Final answer
    x = 1,656.57

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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.