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Finding the Fourth Proportional to 2,064.84, 3,100.14 and 1,652.67

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Solution

The fourth proportional to 2,064.84, 3,100.14 and 1,652.67 is: 2,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.84 : 3,100.14 = 1,652.67 : x
  2. Step 2: Convert to fraction form
    2,064.84/3,100.14 = 1,652.67/x
  3. Step 3: Cross multiply
    2,064.84x = 3,100.14 × 1,652.67
  4. Step 4: Simplify right side
    2,064.84x = 5,123,508.37
  5. Step 5: Solve for x
    x = 5,123,508.37/2,064.84
  6. Step 6: Final answer
    x = 2,481.31

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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.