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Finding the Fourth Proportional to 2,401.56, 3,602.52 and 862.56

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Solution

The fourth proportional to 2,401.56, 3,602.52 and 862.56 is: 1,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.56 : 3,602.52 = 862.56 : x
  2. Step 2: Convert to fraction form
    2,401.56/3,602.52 = 862.56/x
  3. Step 3: Cross multiply
    2,401.56x = 3,602.52 × 862.56
  4. Step 4: Simplify right side
    2,401.56x = 3,107,389.65
  5. Step 5: Solve for x
    x = 3,107,389.65/2,401.56
  6. Step 6: Final answer
    x = 1,293.90

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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.