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Finding the Fourth Proportional to 2,308.10, 3,462.60 and 921.20

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Solution

The fourth proportional to 2,308.10, 3,462.60 and 921.20 is: 1,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.10 : 3,462.60 = 921.20 : x
  2. Step 2: Convert to fraction form
    2,308.10/3,462.60 = 921.20/x
  3. Step 3: Cross multiply
    2,308.10x = 3,462.60 × 921.20
  4. Step 4: Simplify right side
    2,308.10x = 3,189,747.12
  5. Step 5: Solve for x
    x = 3,189,747.12/2,308.10
  6. Step 6: Final answer
    x = 1,381.98

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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.