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Finding the Fourth Proportional to 2,666.58, 4,000.41 and 935.34

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Solution

The fourth proportional to 2,666.58, 4,000.41 and 935.34 is: 1,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.58 : 4,000.41 = 935.34 : x
  2. Step 2: Convert to fraction form
    2,666.58/4,000.41 = 935.34/x
  3. Step 3: Cross multiply
    2,666.58x = 4,000.41 × 935.34
  4. Step 4: Simplify right side
    2,666.58x = 3,741,743.49
  5. Step 5: Solve for x
    x = 3,741,743.49/2,666.58
  6. Step 6: Final answer
    x = 1,403.20

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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.