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Finding the Fourth Proportional to 1,457.37, 2,186.76 and 727.05

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Solution

The fourth proportional to 1,457.37, 2,186.76 and 727.05 is: 1,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.37 : 2,186.76 = 727.05 : x
  2. Step 2: Convert to fraction form
    1,457.37/2,186.76 = 727.05/x
  3. Step 3: Cross multiply
    1,457.37x = 2,186.76 × 727.05
  4. Step 4: Simplify right side
    1,457.37x = 1,589,883.86
  5. Step 5: Solve for x
    x = 1,589,883.86/1,457.37
  6. Step 6: Final answer
    x = 1,090.93

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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.