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Finding the Fourth Proportional to 1,933.65, 2,900.48 and 547.14

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Solution

The fourth proportional to 1,933.65, 2,900.48 and 547.14 is: 820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.65 : 2,900.48 = 547.14 : x
  2. Step 2: Convert to fraction form
    1,933.65/2,900.48 = 547.14/x
  3. Step 3: Cross multiply
    1,933.65x = 2,900.48 × 547.14
  4. Step 4: Simplify right side
    1,933.65x = 1,586,968.63
  5. Step 5: Solve for x
    x = 1,586,968.63/1,933.65
  6. Step 6: Final answer
    x = 820.71

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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.