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Finding the Fourth Proportional to 1,931.91, 2,883.72 and 1,659.75

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Solution

The fourth proportional to 1,931.91, 2,883.72 and 1,659.75 is: 2,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.91 : 2,883.72 = 1,659.75 : x
  2. Step 2: Convert to fraction form
    1,931.91/2,883.72 = 1,659.75/x
  3. Step 3: Cross multiply
    1,931.91x = 2,883.72 × 1,659.75
  4. Step 4: Simplify right side
    1,931.91x = 4,786,231.55
  5. Step 5: Solve for x
    x = 4,786,231.55/1,931.91
  6. Step 6: Final answer
    x = 2,477.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.