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Finding the Fourth Proportional to 2,428.58, 3,639.81 and 1,040.28

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Solution

The fourth proportional to 2,428.58, 3,639.81 and 1,040.28 is: 1,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.58 : 3,639.81 = 1,040.28 : x
  2. Step 2: Convert to fraction form
    2,428.58/3,639.81 = 1,040.28/x
  3. Step 3: Cross multiply
    2,428.58x = 3,639.81 × 1,040.28
  4. Step 4: Simplify right side
    2,428.58x = 3,786,421.55
  5. Step 5: Solve for x
    x = 3,786,421.55/2,428.58
  6. Step 6: Final answer
    x = 1,559.11

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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.