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Finding the Fourth Proportional to 1,679.64, 2,317.91 and 933.72

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Solution

The fourth proportional to 1,679.64, 2,317.91 and 933.72 is: 1,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.64 : 2,317.91 = 933.72 : x
  2. Step 2: Convert to fraction form
    1,679.64/2,317.91 = 933.72/x
  3. Step 3: Cross multiply
    1,679.64x = 2,317.91 × 933.72
  4. Step 4: Simplify right side
    1,679.64x = 2,164,274.26
  5. Step 5: Solve for x
    x = 2,164,274.26/1,679.64
  6. Step 6: Final answer
    x = 1,288.53

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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.