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Finding the Fourth Proportional to 2,457.21, 3,683.75 and 997.39

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Solution

The fourth proportional to 2,457.21, 3,683.75 and 997.39 is: 1,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.21 : 3,683.75 = 997.39 : x
  2. Step 2: Convert to fraction form
    2,457.21/3,683.75 = 997.39/x
  3. Step 3: Cross multiply
    2,457.21x = 3,683.75 × 997.39
  4. Step 4: Simplify right side
    2,457.21x = 3,674,130.43
  5. Step 5: Solve for x
    x = 3,674,130.43/2,457.21
  6. Step 6: Final answer
    x = 1,495.24

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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.