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Finding the Fourth Proportional to 2,361.76, 3,522.71 and 2,051.17

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Solution

The fourth proportional to 2,361.76, 3,522.71 and 2,051.17 is: 3,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.76 : 3,522.71 = 2,051.17 : x
  2. Step 2: Convert to fraction form
    2,361.76/3,522.71 = 2,051.17/x
  3. Step 3: Cross multiply
    2,361.76x = 3,522.71 × 2,051.17
  4. Step 4: Simplify right side
    2,361.76x = 7,225,665.70
  5. Step 5: Solve for x
    x = 7,225,665.70/2,361.76
  6. Step 6: Final answer
    x = 3,059.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.