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Finding the Fourth Proportional to 1,679.40, 2,317.62 and 933.36

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Solution

The fourth proportional to 1,679.40, 2,317.62 and 933.36 is: 1,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.40 : 2,317.62 = 933.36 : x
  2. Step 2: Convert to fraction form
    1,679.40/2,317.62 = 933.36/x
  3. Step 3: Cross multiply
    1,679.40x = 2,317.62 × 933.36
  4. Step 4: Simplify right side
    1,679.40x = 2,163,173.80
  5. Step 5: Solve for x
    x = 2,163,173.80/1,679.40
  6. Step 6: Final answer
    x = 1,288.06

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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.