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Finding the Fourth Proportional to 1,788.14, 2,681.81 and 633.89

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Solution

The fourth proportional to 1,788.14, 2,681.81 and 633.89 is: 950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.14 : 2,681.81 = 633.89 : x
  2. Step 2: Convert to fraction form
    1,788.14/2,681.81 = 633.89/x
  3. Step 3: Cross multiply
    1,788.14x = 2,681.81 × 633.89
  4. Step 4: Simplify right side
    1,788.14x = 1,699,969.37
  5. Step 5: Solve for x
    x = 1,699,969.37/1,788.14
  6. Step 6: Final answer
    x = 950.69

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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.