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Finding the Fourth Proportional to 1,361.10, 2,041.68 and 387.27

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Solution

The fourth proportional to 1,361.10, 2,041.68 and 387.27 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.10 : 2,041.68 = 387.27 : x
  2. Step 2: Convert to fraction form
    1,361.10/2,041.68 = 387.27/x
  3. Step 3: Cross multiply
    1,361.10x = 2,041.68 × 387.27
  4. Step 4: Simplify right side
    1,361.10x = 790,681.41
  5. Step 5: Solve for x
    x = 790,681.41/1,361.10
  6. Step 6: Final answer
    x = 580.91

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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.