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Finding the Fourth Proportional to 1,767.55, 2,439.21 and 981.59

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Solution

The fourth proportional to 1,767.55, 2,439.21 and 981.59 is: 1,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.55 : 2,439.21 = 981.59 : x
  2. Step 2: Convert to fraction form
    1,767.55/2,439.21 = 981.59/x
  3. Step 3: Cross multiply
    1,767.55x = 2,439.21 × 981.59
  4. Step 4: Simplify right side
    1,767.55x = 2,394,304.14
  5. Step 5: Solve for x
    x = 2,394,304.14/1,767.55
  6. Step 6: Final answer
    x = 1,354.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.