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Finding the Fourth Proportional to 3,099.62, 4,649.46 and 1,457.34

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Solution

The fourth proportional to 3,099.62, 4,649.46 and 1,457.34 is: 2,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.62 : 4,649.46 = 1,457.34 : x
  2. Step 2: Convert to fraction form
    3,099.62/4,649.46 = 1,457.34/x
  3. Step 3: Cross multiply
    3,099.62x = 4,649.46 × 1,457.34
  4. Step 4: Simplify right side
    3,099.62x = 6,775,844.04
  5. Step 5: Solve for x
    x = 6,775,844.04/3,099.62
  6. Step 6: Final answer
    x = 2,186.02

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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.