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Finding the Fourth Proportional to 2,026.53, 3,037.62 and 987.24

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Solution

The fourth proportional to 2,026.53, 3,037.62 and 987.24 is: 1,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.53 : 3,037.62 = 987.24 : x
  2. Step 2: Convert to fraction form
    2,026.53/3,037.62 = 987.24/x
  3. Step 3: Cross multiply
    2,026.53x = 3,037.62 × 987.24
  4. Step 4: Simplify right side
    2,026.53x = 2,998,859.97
  5. Step 5: Solve for x
    x = 2,998,859.97/2,026.53
  6. Step 6: Final answer
    x = 1,479.80

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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.