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Finding the Fourth Proportional to 2,686.68, 4,027.58 and 954.90

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Solution

The fourth proportional to 2,686.68, 4,027.58 and 954.90 is: 1,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.68 : 4,027.58 = 954.90 : x
  2. Step 2: Convert to fraction form
    2,686.68/4,027.58 = 954.90/x
  3. Step 3: Cross multiply
    2,686.68x = 4,027.58 × 954.90
  4. Step 4: Simplify right side
    2,686.68x = 3,845,918.39
  5. Step 5: Solve for x
    x = 3,845,918.39/2,686.68
  6. Step 6: Final answer
    x = 1,431.48

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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.