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Finding the Fourth Proportional to 1,457.22, 2,187.09 and 764.37

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Solution

The fourth proportional to 1,457.22, 2,187.09 and 764.37 is: 1,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.22 : 2,187.09 = 764.37 : x
  2. Step 2: Convert to fraction form
    1,457.22/2,187.09 = 764.37/x
  3. Step 3: Cross multiply
    1,457.22x = 2,187.09 × 764.37
  4. Step 4: Simplify right side
    1,457.22x = 1,671,745.98
  5. Step 5: Solve for x
    x = 1,671,745.98/1,457.22
  6. Step 6: Final answer
    x = 1,147.22

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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.