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Finding the Fourth Proportional to 2,401.18, 3,601.88 and 841.34

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Solution

The fourth proportional to 2,401.18, 3,601.88 and 841.34 is: 1,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.18 : 3,601.88 = 841.34 : x
  2. Step 2: Convert to fraction form
    2,401.18/3,601.88 = 841.34/x
  3. Step 3: Cross multiply
    2,401.18x = 3,601.88 × 841.34
  4. Step 4: Simplify right side
    2,401.18x = 3,030,405.72
  5. Step 5: Solve for x
    x = 3,030,405.72/2,401.18
  6. Step 6: Final answer
    x = 1,262.05

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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.