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Finding the Fourth Proportional to 2,026.26, 3,037.32 and 931.41

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Solution

The fourth proportional to 2,026.26, 3,037.32 and 931.41 is: 1,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.26 : 3,037.32 = 931.41 : x
  2. Step 2: Convert to fraction form
    2,026.26/3,037.32 = 931.41/x
  3. Step 3: Cross multiply
    2,026.26x = 3,037.32 × 931.41
  4. Step 4: Simplify right side
    2,026.26x = 2,828,990.22
  5. Step 5: Solve for x
    x = 2,828,990.22/2,026.26
  6. Step 6: Final answer
    x = 1,396.16

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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.