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Finding the Fourth Proportional to 2,361.30, 3,541.73 and 718.09

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Solution

The fourth proportional to 2,361.30, 3,541.73 and 718.09 is: 1,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.30 : 3,541.73 = 718.09 : x
  2. Step 2: Convert to fraction form
    2,361.30/3,541.73 = 718.09/x
  3. Step 3: Cross multiply
    2,361.30x = 3,541.73 × 718.09
  4. Step 4: Simplify right side
    2,361.30x = 2,543,278.41
  5. Step 5: Solve for x
    x = 2,543,278.41/2,361.30
  6. Step 6: Final answer
    x = 1,077.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.