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Finding the Fourth Proportional to 2,734.13, 3,773.41 and 1,522.93

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Solution

The fourth proportional to 2,734.13, 3,773.41 and 1,522.93 is: 2,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.13 : 3,773.41 = 1,522.93 : x
  2. Step 2: Convert to fraction form
    2,734.13/3,773.41 = 1,522.93/x
  3. Step 3: Cross multiply
    2,734.13x = 3,773.41 × 1,522.93
  4. Step 4: Simplify right side
    2,734.13x = 5,746,639.29
  5. Step 5: Solve for x
    x = 5,746,639.29/2,734.13
  6. Step 6: Final answer
    x = 2,101.82

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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.