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Finding the Fourth Proportional to 1,396.86, 2,095.83 and 666.51

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Solution

The fourth proportional to 1,396.86, 2,095.83 and 666.51 is: 1,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.86 : 2,095.83 = 666.51 : x
  2. Step 2: Convert to fraction form
    1,396.86/2,095.83 = 666.51/x
  3. Step 3: Cross multiply
    1,396.86x = 2,095.83 × 666.51
  4. Step 4: Simplify right side
    1,396.86x = 1,396,891.65
  5. Step 5: Solve for x
    x = 1,396,891.65/1,396.86
  6. Step 6: Final answer
    x = 1,000.02

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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.