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Finding the Fourth Proportional to 2,775.53, 4,160.16 and 926.21

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Solution

The fourth proportional to 2,775.53, 4,160.16 and 926.21 is: 1,388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.53 : 4,160.16 = 926.21 : x
  2. Step 2: Convert to fraction form
    2,775.53/4,160.16 = 926.21/x
  3. Step 3: Cross multiply
    2,775.53x = 4,160.16 × 926.21
  4. Step 4: Simplify right side
    2,775.53x = 3,853,192.19
  5. Step 5: Solve for x
    x = 3,853,192.19/2,775.53
  6. Step 6: Final answer
    x = 1,388.27

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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.