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Finding the Fourth Proportional to 3,104.10, 4,652.19 and 1,457.01

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Solution

The fourth proportional to 3,104.10, 4,652.19 and 1,457.01 is: 2,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.10 : 4,652.19 = 1,457.01 : x
  2. Step 2: Convert to fraction form
    3,104.10/4,652.19 = 1,457.01/x
  3. Step 3: Cross multiply
    3,104.10x = 4,652.19 × 1,457.01
  4. Step 4: Simplify right side
    3,104.10x = 6,778,287.35
  5. Step 5: Solve for x
    x = 6,778,287.35/3,104.10
  6. Step 6: Final answer
    x = 2,183.66

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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.