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Finding the Fourth Proportional to 1,675.05, 2,311.71 and 929.09

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Solution

The fourth proportional to 1,675.05, 2,311.71 and 929.09 is: 1,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.05 : 2,311.71 = 929.09 : x
  2. Step 2: Convert to fraction form
    1,675.05/2,311.71 = 929.09/x
  3. Step 3: Cross multiply
    1,675.05x = 2,311.71 × 929.09
  4. Step 4: Simplify right side
    1,675.05x = 2,147,775.09
  5. Step 5: Solve for x
    x = 2,147,775.09/1,675.05
  6. Step 6: Final answer
    x = 1,282.22

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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.