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Finding the Fourth Proportional to 2,720.34, 4,082.06 and 1,160.18

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Solution

The fourth proportional to 2,720.34, 4,082.06 and 1,160.18 is: 1,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.34 : 4,082.06 = 1,160.18 : x
  2. Step 2: Convert to fraction form
    2,720.34/4,082.06 = 1,160.18/x
  3. Step 3: Cross multiply
    2,720.34x = 4,082.06 × 1,160.18
  4. Step 4: Simplify right side
    2,720.34x = 4,735,924.37
  5. Step 5: Solve for x
    x = 4,735,924.37/2,720.34
  6. Step 6: Final answer
    x = 1,740.93

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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.