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Finding the Fourth Proportional to 2,666.83, 4,002.14 and 935.59

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Solution

The fourth proportional to 2,666.83, 4,002.14 and 935.59 is: 1,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.83 : 4,002.14 = 935.59 : x
  2. Step 2: Convert to fraction form
    2,666.83/4,002.14 = 935.59/x
  3. Step 3: Cross multiply
    2,666.83x = 4,002.14 × 935.59
  4. Step 4: Simplify right side
    2,666.83x = 3,744,357.48
  5. Step 5: Solve for x
    x = 3,744,357.48/2,666.83
  6. Step 6: Final answer
    x = 1,404.05

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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.