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Finding the Fourth Proportional to 2,666.46, 4,001.48 and 935.09

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Solution

The fourth proportional to 2,666.46, 4,001.48 and 935.09 is: 1,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.46 : 4,001.48 = 935.09 : x
  2. Step 2: Convert to fraction form
    2,666.46/4,001.48 = 935.09/x
  3. Step 3: Cross multiply
    2,666.46x = 4,001.48 × 935.09
  4. Step 4: Simplify right side
    2,666.46x = 3,741,719.25
  5. Step 5: Solve for x
    x = 3,741,719.25/2,666.46
  6. Step 6: Final answer
    x = 1,403.25

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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.