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Finding the Fourth Proportional to 2,670.94, 3,690.96 and 2,006.66

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Solution

The fourth proportional to 2,670.94, 3,690.96 and 2,006.66 is: 2,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.94 : 3,690.96 = 2,006.66 : x
  2. Step 2: Convert to fraction form
    2,670.94/3,690.96 = 2,006.66/x
  3. Step 3: Cross multiply
    2,670.94x = 3,690.96 × 2,006.66
  4. Step 4: Simplify right side
    2,670.94x = 7,406,501.79
  5. Step 5: Solve for x
    x = 7,406,501.79/2,670.94
  6. Step 6: Final answer
    x = 2,772.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.