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Finding the Fourth Proportional to 1,477.82, 2,039.43 and 814.65

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Solution

The fourth proportional to 1,477.82, 2,039.43 and 814.65 is: 1,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.82 : 2,039.43 = 814.65 : x
  2. Step 2: Convert to fraction form
    1,477.82/2,039.43 = 814.65/x
  3. Step 3: Cross multiply
    1,477.82x = 2,039.43 × 814.65
  4. Step 4: Simplify right side
    1,477.82x = 1,661,421.65
  5. Step 5: Solve for x
    x = 1,661,421.65/1,477.82
  6. Step 6: Final answer
    x = 1,124.24

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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.