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Finding the Fourth Proportional to 4,777.75, 7,164.84 and 1,656.91

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Solution

The fourth proportional to 4,777.75, 7,164.84 and 1,656.91 is: 2,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.75 : 7,164.84 = 1,656.91 : x
  2. Step 2: Convert to fraction form
    4,777.75/7,164.84 = 1,656.91/x
  3. Step 3: Cross multiply
    4,777.75x = 7,164.84 × 1,656.91
  4. Step 4: Simplify right side
    4,777.75x = 11,871,495.04
  5. Step 5: Solve for x
    x = 11,871,495.04/4,777.75
  6. Step 6: Final answer
    x = 2,484.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.