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Finding the Fourth Proportional to 2,092.48, 2,887.64 and 1,196.40

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Solution

The fourth proportional to 2,092.48, 2,887.64 and 1,196.40 is: 1,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.48 : 2,887.64 = 1,196.40 : x
  2. Step 2: Convert to fraction form
    2,092.48/2,887.64 = 1,196.40/x
  3. Step 3: Cross multiply
    2,092.48x = 2,887.64 × 1,196.40
  4. Step 4: Simplify right side
    2,092.48x = 3,454,775.49
  5. Step 5: Solve for x
    x = 3,454,775.49/2,092.48
  6. Step 6: Final answer
    x = 1,651.05

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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.