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Finding the Fourth Proportional to 1,457.21, 2,181.53 and 962.71

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Solution

The fourth proportional to 1,457.21, 2,181.53 and 962.71 is: 1,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.21 : 2,181.53 = 962.71 : x
  2. Step 2: Convert to fraction form
    1,457.21/2,181.53 = 962.71/x
  3. Step 3: Cross multiply
    1,457.21x = 2,181.53 × 962.71
  4. Step 4: Simplify right side
    1,457.21x = 2,100,177.70
  5. Step 5: Solve for x
    x = 2,100,177.70/1,457.21
  6. Step 6: Final answer
    x = 1,441.23

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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.