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Finding the Fourth Proportional to 2,402.61, 3,604.08 and 842.43

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Solution

The fourth proportional to 2,402.61, 3,604.08 and 842.43 is: 1,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.61 : 3,604.08 = 842.43 : x
  2. Step 2: Convert to fraction form
    2,402.61/3,604.08 = 842.43/x
  3. Step 3: Cross multiply
    2,402.61x = 3,604.08 × 842.43
  4. Step 4: Simplify right side
    2,402.61x = 3,036,185.11
  5. Step 5: Solve for x
    x = 3,036,185.11/2,402.61
  6. Step 6: Final answer
    x = 1,263.70

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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.