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Finding the Fourth Proportional to 3,122.75, 4,685.19 and 1,457.64

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Solution

The fourth proportional to 3,122.75, 4,685.19 and 1,457.64 is: 2,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.75 : 4,685.19 = 1,457.64 : x
  2. Step 2: Convert to fraction form
    3,122.75/4,685.19 = 1,457.64/x
  3. Step 3: Cross multiply
    3,122.75x = 4,685.19 × 1,457.64
  4. Step 4: Simplify right side
    3,122.75x = 6,829,313.06
  5. Step 5: Solve for x
    x = 6,829,313.06/3,122.75
  6. Step 6: Final answer
    x = 2,186.96

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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.