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Finding the Fourth Proportional to 2,139.58, 2,960.70 and 1,824.34

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Solution

The fourth proportional to 2,139.58, 2,960.70 and 1,824.34 is: 2,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.58 : 2,960.70 = 1,824.34 : x
  2. Step 2: Convert to fraction form
    2,139.58/2,960.70 = 1,824.34/x
  3. Step 3: Cross multiply
    2,139.58x = 2,960.70 × 1,824.34
  4. Step 4: Simplify right side
    2,139.58x = 5,401,325.01
  5. Step 5: Solve for x
    x = 5,401,325.01/2,139.58
  6. Step 6: Final answer
    x = 2,524.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.