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Finding the Fourth Proportional to 2,028.15, 3,041.21 and 931.58

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Solution

The fourth proportional to 2,028.15, 3,041.21 and 931.58 is: 1,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.15 : 3,041.21 = 931.58 : x
  2. Step 2: Convert to fraction form
    2,028.15/3,041.21 = 931.58/x
  3. Step 3: Cross multiply
    2,028.15x = 3,041.21 × 931.58
  4. Step 4: Simplify right side
    2,028.15x = 2,833,130.41
  5. Step 5: Solve for x
    x = 2,833,130.41/2,028.15
  6. Step 6: Final answer
    x = 1,396.90

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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.