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Finding the Fourth Proportional to 2,068.46, 3,102.99 and 752.30

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Solution

The fourth proportional to 2,068.46, 3,102.99 and 752.30 is: 1,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.46 : 3,102.99 = 752.30 : x
  2. Step 2: Convert to fraction form
    2,068.46/3,102.99 = 752.30/x
  3. Step 3: Cross multiply
    2,068.46x = 3,102.99 × 752.30
  4. Step 4: Simplify right side
    2,068.46x = 2,334,379.38
  5. Step 5: Solve for x
    x = 2,334,379.38/2,068.46
  6. Step 6: Final answer
    x = 1,128.56

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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.