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Finding the Fourth Proportional to 1,679.46, 2,317.40 and 933.43

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Solution

The fourth proportional to 1,679.46, 2,317.40 and 933.43 is: 1,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.46 : 2,317.40 = 933.43 : x
  2. Step 2: Convert to fraction form
    1,679.46/2,317.40 = 933.43/x
  3. Step 3: Cross multiply
    1,679.46x = 2,317.40 × 933.43
  4. Step 4: Simplify right side
    1,679.46x = 2,163,119.10
  5. Step 5: Solve for x
    x = 2,163,119.10/1,679.46
  6. Step 6: Final answer
    x = 1,287.98

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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.