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Finding the Fourth Proportional to 1,933.67, 2,900.65 and 701.09

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Solution

The fourth proportional to 1,933.67, 2,900.65 and 701.09 is: 1,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.67 : 2,900.65 = 701.09 : x
  2. Step 2: Convert to fraction form
    1,933.67/2,900.65 = 701.09/x
  3. Step 3: Cross multiply
    1,933.67x = 2,900.65 × 701.09
  4. Step 4: Simplify right side
    1,933.67x = 2,033,612.64
  5. Step 5: Solve for x
    x = 2,033,612.64/1,933.67
  6. Step 6: Final answer
    x = 1,051.68

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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.