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Finding the Fourth Proportional to 2,443.18, 3,665.40 and 862.30

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Solution

The fourth proportional to 2,443.18, 3,665.40 and 862.30 is: 1,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.18 : 3,665.40 = 862.30 : x
  2. Step 2: Convert to fraction form
    2,443.18/3,665.40 = 862.30/x
  3. Step 3: Cross multiply
    2,443.18x = 3,665.40 × 862.30
  4. Step 4: Simplify right side
    2,443.18x = 3,160,660.00
  5. Step 5: Solve for x
    x = 3,160,660.00/2,443.18
  6. Step 6: Final answer
    x = 1,293.67

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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.