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Finding the Fourth Proportional to 2,234, 3,082.98 and 1,302.50

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Solution

The fourth proportional to 2,234, 3,082.98 and 1,302.50 is: 1,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234 : 3,082.98 = 1,302.50 : x
  2. Step 2: Convert to fraction form
    2,234/3,082.98 = 1,302.50/x
  3. Step 3: Cross multiply
    2,234x = 3,082.98 × 1,302.50
  4. Step 4: Simplify right side
    2,234x = 4,015,581.45
  5. Step 5: Solve for x
    x = 4,015,581.45/2,234
  6. Step 6: Final answer
    x = 1,797.48

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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.