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Finding the Fourth Proportional to 2,971.28, 4,457.03 and 780.03

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Solution

The fourth proportional to 2,971.28, 4,457.03 and 780.03 is: 1,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.28 : 4,457.03 = 780.03 : x
  2. Step 2: Convert to fraction form
    2,971.28/4,457.03 = 780.03/x
  3. Step 3: Cross multiply
    2,971.28x = 4,457.03 × 780.03
  4. Step 4: Simplify right side
    2,971.28x = 3,476,613.21
  5. Step 5: Solve for x
    x = 3,476,613.21/2,971.28
  6. Step 6: Final answer
    x = 1,170.07

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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.