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Finding the Fourth Proportional to 2,686.02, 4,029.30 and 954.24

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Solution

The fourth proportional to 2,686.02, 4,029.30 and 954.24 is: 1,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.02 : 4,029.30 = 954.24 : x
  2. Step 2: Convert to fraction form
    2,686.02/4,029.30 = 954.24/x
  3. Step 3: Cross multiply
    2,686.02x = 4,029.30 × 954.24
  4. Step 4: Simplify right side
    2,686.02x = 3,844,919.23
  5. Step 5: Solve for x
    x = 3,844,919.23/2,686.02
  6. Step 6: Final answer
    x = 1,431.46

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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.