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Finding the Fourth Proportional to 2,725.96, 4,090.62 and 1,187.08

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Solution

The fourth proportional to 2,725.96, 4,090.62 and 1,187.08 is: 1,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.96 : 4,090.62 = 1,187.08 : x
  2. Step 2: Convert to fraction form
    2,725.96/4,090.62 = 1,187.08/x
  3. Step 3: Cross multiply
    2,725.96x = 4,090.62 × 1,187.08
  4. Step 4: Simplify right side
    2,725.96x = 4,855,893.19
  5. Step 5: Solve for x
    x = 4,855,893.19/2,725.96
  6. Step 6: Final answer
    x = 1,781.35

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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.