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Finding the Fourth Proportional to 1,457.46, 2,185.83 and 676.71

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Solution

The fourth proportional to 1,457.46, 2,185.83 and 676.71 is: 1,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.46 : 2,185.83 = 676.71 : x
  2. Step 2: Convert to fraction form
    1,457.46/2,185.83 = 676.71/x
  3. Step 3: Cross multiply
    1,457.46x = 2,185.83 × 676.71
  4. Step 4: Simplify right side
    1,457.46x = 1,479,173.02
  5. Step 5: Solve for x
    x = 1,479,173.02/1,457.46
  6. Step 6: Final answer
    x = 1,014.90

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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.