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Finding the Fourth Proportional to 2,361.42, 3,533.76 and 2,056.56

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Solution

The fourth proportional to 2,361.42, 3,533.76 and 2,056.56 is: 3,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.42 : 3,533.76 = 2,056.56 : x
  2. Step 2: Convert to fraction form
    2,361.42/3,533.76 = 2,056.56/x
  3. Step 3: Cross multiply
    2,361.42x = 3,533.76 × 2,056.56
  4. Step 4: Simplify right side
    2,361.42x = 7,267,389.47
  5. Step 5: Solve for x
    x = 7,267,389.47/2,361.42
  6. Step 6: Final answer
    x = 3,077.55

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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.