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Finding the Fourth Proportional to 1,675.13, 2,311.67 and 929.19

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Solution

The fourth proportional to 1,675.13, 2,311.67 and 929.19 is: 1,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.13 : 2,311.67 = 929.19 : x
  2. Step 2: Convert to fraction form
    1,675.13/2,311.67 = 929.19/x
  3. Step 3: Cross multiply
    1,675.13x = 2,311.67 × 929.19
  4. Step 4: Simplify right side
    1,675.13x = 2,147,991.64
  5. Step 5: Solve for x
    x = 2,147,991.64/1,675.13
  6. Step 6: Final answer
    x = 1,282.29

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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.