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Finding the Fourth Proportional to 2,772.16, 4,156.80 and 1,744

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Solution

The fourth proportional to 2,772.16, 4,156.80 and 1,744 is: 2,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.16 : 4,156.80 = 1,744 : x
  2. Step 2: Convert to fraction form
    2,772.16/4,156.80 = 1,744/x
  3. Step 3: Cross multiply
    2,772.16x = 4,156.80 × 1,744
  4. Step 4: Simplify right side
    2,772.16x = 7,249,459.20
  5. Step 5: Solve for x
    x = 7,249,459.20/2,772.16
  6. Step 6: Final answer
    x = 2,615.09

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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.