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Finding the Fourth Proportional to 2,309.78, 3,462.24 and 1,663.40

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Solution

The fourth proportional to 2,309.78, 3,462.24 and 1,663.40 is: 2,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.78 : 3,462.24 = 1,663.40 : x
  2. Step 2: Convert to fraction form
    2,309.78/3,462.24 = 1,663.40/x
  3. Step 3: Cross multiply
    2,309.78x = 3,462.24 × 1,663.40
  4. Step 4: Simplify right side
    2,309.78x = 5,759,090.02
  5. Step 5: Solve for x
    x = 5,759,090.02/2,309.78
  6. Step 6: Final answer
    x = 2,493.35

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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.