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Finding the Fourth Proportional to 2,337.66, 3,507.12 and 1,945.56

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Solution

The fourth proportional to 2,337.66, 3,507.12 and 1,945.56 is: 2,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.66 : 3,507.12 = 1,945.56 : x
  2. Step 2: Convert to fraction form
    2,337.66/3,507.12 = 1,945.56/x
  3. Step 3: Cross multiply
    2,337.66x = 3,507.12 × 1,945.56
  4. Step 4: Simplify right side
    2,337.66x = 6,823,312.39
  5. Step 5: Solve for x
    x = 6,823,312.39/2,337.66
  6. Step 6: Final answer
    x = 2,918.86

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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.