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Finding the Fourth Proportional to 1,361.07, 2,041.60 and 387.18

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Solution

The fourth proportional to 1,361.07, 2,041.60 and 387.18 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.07 : 2,041.60 = 387.18 : x
  2. Step 2: Convert to fraction form
    1,361.07/2,041.60 = 387.18/x
  3. Step 3: Cross multiply
    1,361.07x = 2,041.60 × 387.18
  4. Step 4: Simplify right side
    1,361.07x = 790,466.69
  5. Step 5: Solve for x
    x = 790,466.69/1,361.07
  6. Step 6: Final answer
    x = 580.77

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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.