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Finding the Fourth Proportional to 2,402.98, 3,600.82 and 1,783.79

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Solution

The fourth proportional to 2,402.98, 3,600.82 and 1,783.79 is: 2,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.98 : 3,600.82 = 1,783.79 : x
  2. Step 2: Convert to fraction form
    2,402.98/3,600.82 = 1,783.79/x
  3. Step 3: Cross multiply
    2,402.98x = 3,600.82 × 1,783.79
  4. Step 4: Simplify right side
    2,402.98x = 6,423,084.24
  5. Step 5: Solve for x
    x = 6,423,084.24/2,402.98
  6. Step 6: Final answer
    x = 2,672.97

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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.